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Finding the Third Proportional to 352,549 and 514,057.50

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Solution

The third proportional to 352,549 and 514,057.50 is: 749,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,549 : 514,057.50 = 514,057.50 : x
  2. Step 2: Convert to fraction form
    352,549/514,057.50 = 514,057.50/x
  3. Step 3: Cross multiply
    352,549x = 514,057.50 × 514,057.50
  4. Step 4: Simplify right side
    352,549x = 264,255,113,306.25
  5. Step 5: Solve for x
    x = 264,255,113,306.25/352,549
  6. Step 6: Final answer
    x = 749,555.70

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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.