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Finding the Third Proportional to 347,352.57 and 542,036.95

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Solution

The third proportional to 347,352.57 and 542,036.95 is: 845,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,352.57 : 542,036.95 = 542,036.95 : x
  2. Step 2: Convert to fraction form
    347,352.57/542,036.95 = 542,036.95/x
  3. Step 3: Cross multiply
    347,352.57x = 542,036.95 × 542,036.95
  4. Step 4: Simplify right side
    347,352.57x = 293,804,056,171.05
  5. Step 5: Solve for x
    x = 293,804,056,171.05/347,352.57
  6. Step 6: Final answer
    x = 845,838.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.