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Finding the Third Proportional to 388,384.50 and 602,739

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Solution

The third proportional to 388,384.50 and 602,739 is: 935,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,384.50 : 602,739 = 602,739 : x
  2. Step 2: Convert to fraction form
    388,384.50/602,739 = 602,739/x
  3. Step 3: Cross multiply
    388,384.50x = 602,739 × 602,739
  4. Step 4: Simplify right side
    388,384.50x = 363,294,302,121
  5. Step 5: Solve for x
    x = 363,294,302,121/388,384.50
  6. Step 6: Final answer
    x = 935,398.56

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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.