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Finding the Third Proportional to 385,862 and 597,405

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Solution

The third proportional to 385,862 and 597,405 is: 924,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,862 : 597,405 = 597,405 : x
  2. Step 2: Convert to fraction form
    385,862/597,405 = 597,405/x
  3. Step 3: Cross multiply
    385,862x = 597,405 × 597,405
  4. Step 4: Simplify right side
    385,862x = 356,892,734,025
  5. Step 5: Solve for x
    x = 356,892,734,025/385,862
  6. Step 6: Final answer
    x = 924,923.25

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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.