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Finding the Third Proportional to 403,769 and 588,127

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Solution

The third proportional to 403,769 and 588,127 is: 856,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,769 : 588,127 = 588,127 : x
  2. Step 2: Convert to fraction form
    403,769/588,127 = 588,127/x
  3. Step 3: Cross multiply
    403,769x = 588,127 × 588,127
  4. Step 4: Simplify right side
    403,769x = 345,893,368,129
  5. Step 5: Solve for x
    x = 345,893,368,129/403,769
  6. Step 6: Final answer
    x = 856,661.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.