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Finding the Third Proportional to 386,142 and 597,898

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Solution

The third proportional to 386,142 and 597,898 is: 925,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,142 : 597,898 = 597,898 : x
  2. Step 2: Convert to fraction form
    386,142/597,898 = 597,898/x
  3. Step 3: Cross multiply
    386,142x = 597,898 × 597,898
  4. Step 4: Simplify right side
    386,142x = 357,482,018,404
  5. Step 5: Solve for x
    x = 357,482,018,404/386,142
  6. Step 6: Final answer
    x = 925,778.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.