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Finding the Third Proportional to 388,381.50 and 602,734.50

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Solution

The third proportional to 388,381.50 and 602,734.50 is: 935,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,381.50 : 602,734.50 = 602,734.50 : x
  2. Step 2: Convert to fraction form
    388,381.50/602,734.50 = 602,734.50/x
  3. Step 3: Cross multiply
    388,381.50x = 602,734.50 × 602,734.50
  4. Step 4: Simplify right side
    388,381.50x = 363,288,877,490.25
  5. Step 5: Solve for x
    x = 363,288,877,490.25/388,381.50
  6. Step 6: Final answer
    x = 935,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.