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Finding the Third Proportional to 292,541.50 and 464,179.75

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Solution

The third proportional to 292,541.50 and 464,179.75 is: 736,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,541.50 : 464,179.75 = 464,179.75 : x
  2. Step 2: Convert to fraction form
    292,541.50/464,179.75 = 464,179.75/x
  3. Step 3: Cross multiply
    292,541.50x = 464,179.75 × 464,179.75
  4. Step 4: Simplify right side
    292,541.50x = 215,462,840,310.06
  5. Step 5: Solve for x
    x = 215,462,840,310.06/292,541.50
  6. Step 6: Final answer
    x = 736,520.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.