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Finding the Third Proportional to 401,530.50 and 588,890.25

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Solution

The third proportional to 401,530.50 and 588,890.25 is: 863,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,530.50 : 588,890.25 = 588,890.25 : x
  2. Step 2: Convert to fraction form
    401,530.50/588,890.25 = 588,890.25/x
  3. Step 3: Cross multiply
    401,530.50x = 588,890.25 × 588,890.25
  4. Step 4: Simplify right side
    401,530.50x = 346,791,726,545.06
  5. Step 5: Solve for x
    x = 346,791,726,545.06/401,530.50
  6. Step 6: Final answer
    x = 863,674.68

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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.