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Finding the Third Proportional to 489,747 and 717,854

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Solution

The third proportional to 489,747 and 717,854 is: 1,052,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,747 : 717,854 = 717,854 : x
  2. Step 2: Convert to fraction form
    489,747/717,854 = 717,854/x
  3. Step 3: Cross multiply
    489,747x = 717,854 × 717,854
  4. Step 4: Simplify right side
    489,747x = 515,314,365,316
  5. Step 5: Solve for x
    x = 515,314,365,316/489,747
  6. Step 6: Final answer
    x = 1,052,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.