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Finding the Third Proportional to 359,712 and 527,904

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Solution

The third proportional to 359,712 and 527,904 is: 774,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,712 : 527,904 = 527,904 : x
  2. Step 2: Convert to fraction form
    359,712/527,904 = 527,904/x
  3. Step 3: Cross multiply
    359,712x = 527,904 × 527,904
  4. Step 4: Simplify right side
    359,712x = 278,682,633,216
  5. Step 5: Solve for x
    x = 278,682,633,216/359,712
  6. Step 6: Final answer
    x = 774,738.22

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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.