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Finding the Third Proportional to 506,371.50 and 716,491.13

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Solution

The third proportional to 506,371.50 and 716,491.13 is: 1,013,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,371.50 : 716,491.13 = 716,491.13 : x
  2. Step 2: Convert to fraction form
    506,371.50/716,491.13 = 716,491.13/x
  3. Step 3: Cross multiply
    506,371.50x = 716,491.13 × 716,491.13
  4. Step 4: Simplify right side
    506,371.50x = 513,359,532,203.77
  5. Step 5: Solve for x
    x = 513,359,532,203.77/506,371.50
  6. Step 6: Final answer
    x = 1,013,800.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.