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Finding the Third Proportional to 323,017.88 and 754,454.25

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Solution

The third proportional to 323,017.88 and 754,454.25 is: 1,762,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,017.88 : 754,454.25 = 754,454.25 : x
  2. Step 2: Convert to fraction form
    323,017.88/754,454.25 = 754,454.25/x
  3. Step 3: Cross multiply
    323,017.88x = 754,454.25 × 754,454.25
  4. Step 4: Simplify right side
    323,017.88x = 569,201,215,343.06
  5. Step 5: Solve for x
    x = 569,201,215,343.06/323,017.88
  6. Step 6: Final answer
    x = 1,762,135.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.