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Finding the Third Proportional to 515,592 and 757,586

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Solution

The third proportional to 515,592 and 757,586 is: 1,113,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,592 : 757,586 = 757,586 : x
  2. Step 2: Convert to fraction form
    515,592/757,586 = 757,586/x
  3. Step 3: Cross multiply
    515,592x = 757,586 × 757,586
  4. Step 4: Simplify right side
    515,592x = 573,936,547,396
  5. Step 5: Solve for x
    x = 573,936,547,396/515,592
  6. Step 6: Final answer
    x = 1,113,160.30

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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.