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Finding the Third Proportional to 385,856 and 597,396

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Solution

The third proportional to 385,856 and 597,396 is: 924,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,856 : 597,396 = 597,396 : x
  2. Step 2: Convert to fraction form
    385,856/597,396 = 597,396/x
  3. Step 3: Cross multiply
    385,856x = 597,396 × 597,396
  4. Step 4: Simplify right side
    385,856x = 356,881,980,816
  5. Step 5: Solve for x
    x = 356,881,980,816/385,856
  6. Step 6: Final answer
    x = 924,909.76

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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.