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Finding the Third Proportional to 352,574 and 514,092

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Solution

The third proportional to 352,574 and 514,092 is: 749,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,574 : 514,092 = 514,092 : x
  2. Step 2: Convert to fraction form
    352,574/514,092 = 514,092/x
  3. Step 3: Cross multiply
    352,574x = 514,092 × 514,092
  4. Step 4: Simplify right side
    352,574x = 264,290,584,464
  5. Step 5: Solve for x
    x = 264,290,584,464/352,574
  6. Step 6: Final answer
    x = 749,603.16

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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.