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Finding the Third Proportional to 508,569 and 747,085.50

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Solution

The third proportional to 508,569 and 747,085.50 is: 1,097,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,569 : 747,085.50 = 747,085.50 : x
  2. Step 2: Convert to fraction form
    508,569/747,085.50 = 747,085.50/x
  3. Step 3: Cross multiply
    508,569x = 747,085.50 × 747,085.50
  4. Step 4: Simplify right side
    508,569x = 558,136,744,310.25
  5. Step 5: Solve for x
    x = 558,136,744,310.25/508,569
  6. Step 6: Final answer
    x = 1,097,465.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.