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Finding the Third Proportional to 359,748 and 527,958

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Solution

The third proportional to 359,748 and 527,958 is: 774,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,748 : 527,958 = 527,958 : x
  2. Step 2: Convert to fraction form
    359,748/527,958 = 527,958/x
  3. Step 3: Cross multiply
    359,748x = 527,958 × 527,958
  4. Step 4: Simplify right side
    359,748x = 278,739,649,764
  5. Step 5: Solve for x
    x = 278,739,649,764/359,748
  6. Step 6: Final answer
    x = 774,819.18

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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.