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Finding the Third Proportional to 352,584 and 514,107

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Solution

The third proportional to 352,584 and 514,107 is: 749,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,584 : 514,107 = 514,107 : x
  2. Step 2: Convert to fraction form
    352,584/514,107 = 514,107/x
  3. Step 3: Cross multiply
    352,584x = 514,107 × 514,107
  4. Step 4: Simplify right side
    352,584x = 264,306,007,449
  5. Step 5: Solve for x
    x = 264,306,007,449/352,584
  6. Step 6: Final answer
    x = 749,625.64

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Why These Related Problems?

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