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Finding the Third Proportional to 427,429.88 and 676,822.69

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Solution

The third proportional to 427,429.88 and 676,822.69 is: 1,071,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,429.88 : 676,822.69 = 676,822.69 : x
  2. Step 2: Convert to fraction form
    427,429.88/676,822.69 = 676,822.69/x
  3. Step 3: Cross multiply
    427,429.88x = 676,822.69 × 676,822.69
  4. Step 4: Simplify right side
    427,429.88x = 458,088,950,314.72
  5. Step 5: Solve for x
    x = 458,088,950,314.72/427,429.88
  6. Step 6: Final answer
    x = 1,071,728.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.