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Finding the Third Proportional to 359,356.50 and 538,989.75

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Solution

The third proportional to 359,356.50 and 538,989.75 is: 808,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,356.50 : 538,989.75 = 538,989.75 : x
  2. Step 2: Convert to fraction form
    359,356.50/538,989.75 = 538,989.75/x
  3. Step 3: Cross multiply
    359,356.50x = 538,989.75 × 538,989.75
  4. Step 4: Simplify right side
    359,356.50x = 290,509,950,605.06
  5. Step 5: Solve for x
    x = 290,509,950,605.06/359,356.50
  6. Step 6: Final answer
    x = 808,417.13

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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.