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Finding the Third Proportional to 503,016 and 785,141.75

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Solution

The third proportional to 503,016 and 785,141.75 is: 1,225,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,016 : 785,141.75 = 785,141.75 : x
  2. Step 2: Convert to fraction form
    503,016/785,141.75 = 785,141.75/x
  3. Step 3: Cross multiply
    503,016x = 785,141.75 × 785,141.75
  4. Step 4: Simplify right side
    503,016x = 616,447,567,593.06
  5. Step 5: Solve for x
    x = 616,447,567,593.06/503,016
  6. Step 6: Final answer
    x = 1,225,502.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.