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Finding the Third Proportional to 482,814 and 709,429.50

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Solution

The third proportional to 482,814 and 709,429.50 is: 1,042,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,814 : 709,429.50 = 709,429.50 : x
  2. Step 2: Convert to fraction form
    482,814/709,429.50 = 709,429.50/x
  3. Step 3: Cross multiply
    482,814x = 709,429.50 × 709,429.50
  4. Step 4: Simplify right side
    482,814x = 503,290,215,470.25
  5. Step 5: Solve for x
    x = 503,290,215,470.25/482,814
  6. Step 6: Final answer
    x = 1,042,410.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.