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Finding the Third Proportional to 398,060 and 596,844

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Solution

The third proportional to 398,060 and 596,844 is: 894,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,060 : 596,844 = 596,844 : x
  2. Step 2: Convert to fraction form
    398,060/596,844 = 596,844/x
  3. Step 3: Cross multiply
    398,060x = 596,844 × 596,844
  4. Step 4: Simplify right side
    398,060x = 356,222,760,336
  5. Step 5: Solve for x
    x = 356,222,760,336/398,060
  6. Step 6: Final answer
    x = 894,897.15

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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.