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Finding the Third Proportional to 503,700.75 and 760,402.13

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Solution

The third proportional to 503,700.75 and 760,402.13 is: 1,147,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,700.75 : 760,402.13 = 760,402.13 : x
  2. Step 2: Convert to fraction form
    503,700.75/760,402.13 = 760,402.13/x
  3. Step 3: Cross multiply
    503,700.75x = 760,402.13 × 760,402.13
  4. Step 4: Simplify right side
    503,700.75x = 578,211,391,704.52
  5. Step 5: Solve for x
    x = 578,211,391,704.52/503,700.75
  6. Step 6: Final answer
    x = 1,147,926.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.