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Finding the Third Proportional to 644,698.50 and 872,454

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Solution

The third proportional to 644,698.50 and 872,454 is: 1,180,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,698.50 : 872,454 = 872,454 : x
  2. Step 2: Convert to fraction form
    644,698.50/872,454 = 872,454/x
  3. Step 3: Cross multiply
    644,698.50x = 872,454 × 872,454
  4. Step 4: Simplify right side
    644,698.50x = 761,175,982,116
  5. Step 5: Solve for x
    x = 761,175,982,116/644,698.50
  6. Step 6: Final answer
    x = 1,180,669.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.