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Finding the Third Proportional to 542,989.50 and 714,034.50

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Solution

The third proportional to 542,989.50 and 714,034.50 is: 938,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,989.50 : 714,034.50 = 714,034.50 : x
  2. Step 2: Convert to fraction form
    542,989.50/714,034.50 = 714,034.50/x
  3. Step 3: Cross multiply
    542,989.50x = 714,034.50 × 714,034.50
  4. Step 4: Simplify right side
    542,989.50x = 509,845,267,190.25
  5. Step 5: Solve for x
    x = 509,845,267,190.25/542,989.50
  6. Step 6: Final answer
    x = 938,959.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.