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Finding the Third Proportional to 402,229.13 and 590,194.27

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Solution

The third proportional to 402,229.13 and 590,194.27 is: 865,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,229.13 : 590,194.27 = 590,194.27 : x
  2. Step 2: Convert to fraction form
    402,229.13/590,194.27 = 590,194.27/x
  3. Step 3: Cross multiply
    402,229.13x = 590,194.27 × 590,194.27
  4. Step 4: Simplify right side
    402,229.13x = 348,329,271,176.63
  5. Step 5: Solve for x
    x = 348,329,271,176.63/402,229.13
  6. Step 6: Final answer
    x = 865,997.14

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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.