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Finding the Third Proportional to 352,569 and 514,084.50

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Solution

The third proportional to 352,569 and 514,084.50 is: 749,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,569 : 514,084.50 = 514,084.50 : x
  2. Step 2: Convert to fraction form
    352,569/514,084.50 = 514,084.50/x
  3. Step 3: Cross multiply
    352,569x = 514,084.50 × 514,084.50
  4. Step 4: Simplify right side
    352,569x = 264,282,873,140.25
  5. Step 5: Solve for x
    x = 264,282,873,140.25/352,569
  6. Step 6: Final answer
    x = 749,591.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.