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Finding the Third Proportional to 565,173,049 and 763,358,862

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Solution

The third proportional to 565,173,049 and 763,358,862 is: 1,031,041,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,173,049 : 763,358,862 = 763,358,862 : x
  2. Step 2: Convert to fraction form
    565,173,049/763,358,862 = 763,358,862/x
  3. Step 3: Cross multiply
    565,173,049x = 763,358,862 × 763,358,862
  4. Step 4: Simplify right side
    565,173,049x = 582,716,752,193,935,104
  5. Step 5: Solve for x
    x = 582,716,752,193,935,104/565,173,049
  6. Step 6: Final answer
    x = 1,031,041,294.74

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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.