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Finding the Third Proportional to 429,008 and 997,424

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Solution

The third proportional to 429,008 and 997,424 is: 2,318,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,008 : 997,424 = 997,424 : x
  2. Step 2: Convert to fraction form
    429,008/997,424 = 997,424/x
  3. Step 3: Cross multiply
    429,008x = 997,424 × 997,424
  4. Step 4: Simplify right side
    429,008x = 994,854,635,776
  5. Step 5: Solve for x
    x = 994,854,635,776/429,008
  6. Step 6: Final answer
    x = 2,318,965.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.