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Finding the Third Proportional to 411,825.94 and 755,308.13

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Solution

The third proportional to 411,825.94 and 755,308.13 is: 1,385,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,825.94 : 755,308.13 = 755,308.13 : x
  2. Step 2: Convert to fraction form
    411,825.94/755,308.13 = 755,308.13/x
  3. Step 3: Cross multiply
    411,825.94x = 755,308.13 × 755,308.13
  4. Step 4: Simplify right side
    411,825.94x = 570,490,363,691.02
  5. Step 5: Solve for x
    x = 570,490,363,691.02/411,825.94
  6. Step 6: Final answer
    x = 1,385,270.60

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.