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Finding the Third Proportional to 598,793.38 and 904,406.88

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Solution

The third proportional to 598,793.38 and 904,406.88 is: 1,366,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,793.38 : 904,406.88 = 904,406.88 : x
  2. Step 2: Convert to fraction form
    598,793.38/904,406.88 = 904,406.88/x
  3. Step 3: Cross multiply
    598,793.38x = 904,406.88 × 904,406.88
  4. Step 4: Simplify right side
    598,793.38x = 817,951,795,547.27
  5. Step 5: Solve for x
    x = 817,951,795,547.27/598,793.38
  6. Step 6: Final answer
    x = 1,366,000.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.