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Finding the Third Proportional to 385,864 and 597,408

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Solution

The third proportional to 385,864 and 597,408 is: 924,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,864 : 597,408 = 597,408 : x
  2. Step 2: Convert to fraction form
    385,864/597,408 = 597,408/x
  3. Step 3: Cross multiply
    385,864x = 597,408 × 597,408
  4. Step 4: Simplify right side
    385,864x = 356,896,318,464
  5. Step 5: Solve for x
    x = 356,896,318,464/385,864
  6. Step 6: Final answer
    x = 924,927.74

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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.