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Finding the Third Proportional to 359,461 and 476,983.50

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Solution

The third proportional to 359,461 and 476,983.50 is: 632,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,461 : 476,983.50 = 476,983.50 : x
  2. Step 2: Convert to fraction form
    359,461/476,983.50 = 476,983.50/x
  3. Step 3: Cross multiply
    359,461x = 476,983.50 × 476,983.50
  4. Step 4: Simplify right side
    359,461x = 227,513,259,272.25
  5. Step 5: Solve for x
    x = 227,513,259,272.25/359,461
  6. Step 6: Final answer
    x = 632,928.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.