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Finding the Third Proportional to 359,226.14 and 538,890.47

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Solution

The third proportional to 359,226.14 and 538,890.47 is: 808,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,226.14 : 538,890.47 = 538,890.47 : x
  2. Step 2: Convert to fraction form
    359,226.14/538,890.47 = 538,890.47/x
  3. Step 3: Cross multiply
    359,226.14x = 538,890.47 × 538,890.47
  4. Step 4: Simplify right side
    359,226.14x = 290,402,937,309.60
  5. Step 5: Solve for x
    x = 290,402,937,309.60/359,226.14
  6. Step 6: Final answer
    x = 808,412.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.