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Finding the Third Proportional to 503,016 and 785,141.50

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Solution

The third proportional to 503,016 and 785,141.50 is: 1,225,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,016 : 785,141.50 = 785,141.50 : x
  2. Step 2: Convert to fraction form
    503,016/785,141.50 = 785,141.50/x
  3. Step 3: Cross multiply
    503,016x = 785,141.50 × 785,141.50
  4. Step 4: Simplify right side
    503,016x = 616,447,175,022.25
  5. Step 5: Solve for x
    x = 616,447,175,022.25/503,016
  6. Step 6: Final answer
    x = 1,225,502.12

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