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Finding the Third Proportional to 359,232.75 and 538,900.88

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Solution

The third proportional to 359,232.75 and 538,900.88 is: 808,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,232.75 : 538,900.88 = 538,900.88 : x
  2. Step 2: Convert to fraction form
    359,232.75/538,900.88 = 538,900.88/x
  3. Step 3: Cross multiply
    359,232.75x = 538,900.88 × 538,900.88
  4. Step 4: Simplify right side
    359,232.75x = 290,414,153,075.77
  5. Step 5: Solve for x
    x = 290,414,153,075.77/359,232.75
  6. Step 6: Final answer
    x = 808,428.94

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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.