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Finding the Third Proportional to 398,044 and 596,820

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Solution

The third proportional to 398,044 and 596,820 is: 894,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,044 : 596,820 = 596,820 : x
  2. Step 2: Convert to fraction form
    398,044/596,820 = 596,820/x
  3. Step 3: Cross multiply
    398,044x = 596,820 × 596,820
  4. Step 4: Simplify right side
    398,044x = 356,194,112,400
  5. Step 5: Solve for x
    x = 356,194,112,400/398,044
  6. Step 6: Final answer
    x = 894,861.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.