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Finding the Third Proportional to 588,404 and 909,210

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Solution

The third proportional to 588,404 and 909,210 is: 1,404,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,404 : 909,210 = 909,210 : x
  2. Step 2: Convert to fraction form
    588,404/909,210 = 909,210/x
  3. Step 3: Cross multiply
    588,404x = 909,210 × 909,210
  4. Step 4: Simplify right side
    588,404x = 826,662,824,100
  5. Step 5: Solve for x
    x = 826,662,824,100/588,404
  6. Step 6: Final answer
    x = 1,404,923.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.