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Finding the Third Proportional to 590,206.50 and 865,738.13

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Solution

The third proportional to 590,206.50 and 865,738.13 is: 1,269,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,206.50 : 865,738.13 = 865,738.13 : x
  2. Step 2: Convert to fraction form
    590,206.50/865,738.13 = 865,738.13/x
  3. Step 3: Cross multiply
    590,206.50x = 865,738.13 × 865,738.13
  4. Step 4: Simplify right side
    590,206.50x = 749,502,501,078.52
  5. Step 5: Solve for x
    x = 749,502,501,078.52/590,206.50
  6. Step 6: Final answer
    x = 1,269,898.76

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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.