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Finding the Third Proportional to 401,522 and 588,877

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Solution

The third proportional to 401,522 and 588,877 is: 863,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,522 : 588,877 = 588,877 : x
  2. Step 2: Convert to fraction form
    401,522/588,877 = 588,877/x
  3. Step 3: Cross multiply
    401,522x = 588,877 × 588,877
  4. Step 4: Simplify right side
    401,522x = 346,776,121,129
  5. Step 5: Solve for x
    x = 346,776,121,129/401,522
  6. Step 6: Final answer
    x = 863,654.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.