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Finding the Third Proportional to 385,890 and 596,331

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Solution

The third proportional to 385,890 and 596,331 is: 921,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,890 : 596,331 = 596,331 : x
  2. Step 2: Convert to fraction form
    385,890/596,331 = 596,331/x
  3. Step 3: Cross multiply
    385,890x = 596,331 × 596,331
  4. Step 4: Simplify right side
    385,890x = 355,610,661,561
  5. Step 5: Solve for x
    x = 355,610,661,561/385,890
  6. Step 6: Final answer
    x = 921,533.76

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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.