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Finding the Third Proportional to 550,018.13 and 740,143.13

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Solution

The third proportional to 550,018.13 and 740,143.13 is: 995,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,018.13 : 740,143.13 = 740,143.13 : x
  2. Step 2: Convert to fraction form
    550,018.13/740,143.13 = 740,143.13/x
  3. Step 3: Cross multiply
    550,018.13x = 740,143.13 × 740,143.13
  4. Step 4: Simplify right side
    550,018.13x = 547,811,845,484.77
  5. Step 5: Solve for x
    x = 547,811,845,484.77/550,018.13
  6. Step 6: Final answer
    x = 995,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.