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Finding the Third Proportional to 566,712 and 855,522

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Solution

The third proportional to 566,712 and 855,522 is: 1,291,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,712 : 855,522 = 855,522 : x
  2. Step 2: Convert to fraction form
    566,712/855,522 = 855,522/x
  3. Step 3: Cross multiply
    566,712x = 855,522 × 855,522
  4. Step 4: Simplify right side
    566,712x = 731,917,892,484
  5. Step 5: Solve for x
    x = 731,917,892,484/566,712
  6. Step 6: Final answer
    x = 1,291,516.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.