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Finding the Third Proportional to 351,335.25 and 781,281

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Solution

The third proportional to 351,335.25 and 781,281 is: 1,737,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,335.25 : 781,281 = 781,281 : x
  2. Step 2: Convert to fraction form
    351,335.25/781,281 = 781,281/x
  3. Step 3: Cross multiply
    351,335.25x = 781,281 × 781,281
  4. Step 4: Simplify right side
    351,335.25x = 610,400,000,961
  5. Step 5: Solve for x
    x = 610,400,000,961/351,335.25
  6. Step 6: Final answer
    x = 1,737,371.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.