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Finding the Third Proportional to 352,784 and 514,380

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Solution

The third proportional to 352,784 and 514,380 is: 749,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,784 : 514,380 = 514,380 : x
  2. Step 2: Convert to fraction form
    352,784/514,380 = 514,380/x
  3. Step 3: Cross multiply
    352,784x = 514,380 × 514,380
  4. Step 4: Simplify right side
    352,784x = 264,586,784,400
  5. Step 5: Solve for x
    x = 264,586,784,400/352,784
  6. Step 6: Final answer
    x = 749,996.55

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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.