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Finding the Third Proportional to 388,359.56 and 596,071.41

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Solution

The third proportional to 388,359.56 and 596,071.41 is: 914,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,359.56 : 596,071.41 = 596,071.41 : x
  2. Step 2: Convert to fraction form
    388,359.56/596,071.41 = 596,071.41/x
  3. Step 3: Cross multiply
    388,359.56x = 596,071.41 × 596,071.41
  4. Step 4: Simplify right side
    388,359.56x = 355,301,121,348.85
  5. Step 5: Solve for x
    x = 355,301,121,348.85/388,359.56
  6. Step 6: Final answer
    x = 914,876.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.