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Finding the Third Proportional to 524,511 and 783,531

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Solution

The third proportional to 524,511 and 783,531 is: 1,170,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,511 : 783,531 = 783,531 : x
  2. Step 2: Convert to fraction form
    524,511/783,531 = 783,531/x
  3. Step 3: Cross multiply
    524,511x = 783,531 × 783,531
  4. Step 4: Simplify right side
    524,511x = 613,920,827,961
  5. Step 5: Solve for x
    x = 613,920,827,961/524,511
  6. Step 6: Final answer
    x = 1,170,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.