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Finding the Third Proportional to 287,718.75 and 605,269.13

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Solution

The third proportional to 287,718.75 and 605,269.13 is: 1,273,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,718.75 : 605,269.13 = 605,269.13 : x
  2. Step 2: Convert to fraction form
    287,718.75/605,269.13 = 605,269.13/x
  3. Step 3: Cross multiply
    287,718.75x = 605,269.13 × 605,269.13
  4. Step 4: Simplify right side
    287,718.75x = 366,350,713,678.27
  5. Step 5: Solve for x
    x = 366,350,713,678.27/287,718.75
  6. Step 6: Final answer
    x = 1,273,294.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.