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Finding the Third Proportional to 261,628.50 and 565,068

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Solution

The third proportional to 261,628.50 and 565,068 is: 1,220,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,628.50 : 565,068 = 565,068 : x
  2. Step 2: Convert to fraction form
    261,628.50/565,068 = 565,068/x
  3. Step 3: Cross multiply
    261,628.50x = 565,068 × 565,068
  4. Step 4: Simplify right side
    261,628.50x = 319,301,844,624
  5. Step 5: Solve for x
    x = 319,301,844,624/261,628.50
  6. Step 6: Final answer
    x = 1,220,439.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.