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Finding the Third Proportional to 482,379 and 709,114.50

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Solution

The third proportional to 482,379 and 709,114.50 is: 1,042,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,379 : 709,114.50 = 709,114.50 : x
  2. Step 2: Convert to fraction form
    482,379/709,114.50 = 709,114.50/x
  3. Step 3: Cross multiply
    482,379x = 709,114.50 × 709,114.50
  4. Step 4: Simplify right side
    482,379x = 502,843,374,110.25
  5. Step 5: Solve for x
    x = 502,843,374,110.25/482,379
  6. Step 6: Final answer
    x = 1,042,423.85

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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.