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Finding the Third Proportional to 359,764 and 527,990

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Solution

The third proportional to 359,764 and 527,990 is: 774,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,764 : 527,990 = 527,990 : x
  2. Step 2: Convert to fraction form
    359,764/527,990 = 527,990/x
  3. Step 3: Cross multiply
    359,764x = 527,990 × 527,990
  4. Step 4: Simplify right side
    359,764x = 278,773,440,100
  5. Step 5: Solve for x
    x = 278,773,440,100/359,764
  6. Step 6: Final answer
    x = 774,878.64

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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.