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Finding the Third Proportional to 590,122.13 and 865,812.38

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Solution

The third proportional to 590,122.13 and 865,812.38 is: 1,270,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,122.13 : 865,812.38 = 865,812.38 : x
  2. Step 2: Convert to fraction form
    590,122.13/865,812.38 = 865,812.38/x
  3. Step 3: Cross multiply
    590,122.13x = 865,812.38 × 865,812.38
  4. Step 4: Simplify right side
    590,122.13x = 749,631,068,703.14
  5. Step 5: Solve for x
    x = 749,631,068,703.14/590,122.13
  6. Step 6: Final answer
    x = 1,270,298.19

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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.