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Finding the Third Proportional to 565,173,047.25 and 763,358,857.88

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Solution

The third proportional to 565,173,047.25 and 763,358,857.88 is: 1,031,041,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,173,047.25 : 763,358,857.88 = 763,358,857.88 : x
  2. Step 2: Convert to fraction form
    565,173,047.25/763,358,857.88 = 763,358,857.88/x
  3. Step 3: Cross multiply
    565,173,047.25x = 763,358,857.88 × 763,358,857.88
  4. Step 4: Simplify right side
    565,173,047.25x = 582,716,745,896,224,512
  5. Step 5: Solve for x
    x = 582,716,745,896,224,512/565,173,047.25
  6. Step 6: Final answer
    x = 1,031,041,286.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.