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Finding the Third Proportional to 503,035.31 and 747,718.59

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Solution

The third proportional to 503,035.31 and 747,718.59 is: 1,111,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,035.31 : 747,718.59 = 747,718.59 : x
  2. Step 2: Convert to fraction form
    503,035.31/747,718.59 = 747,718.59/x
  3. Step 3: Cross multiply
    503,035.31x = 747,718.59 × 747,718.59
  4. Step 4: Simplify right side
    503,035.31x = 559,083,095,439.48
  5. Step 5: Solve for x
    x = 559,083,095,439.48/503,035.31
  6. Step 6: Final answer
    x = 1,111,419.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.