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Finding the Third Proportional to 402,865.50 and 877,659

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Solution

The third proportional to 402,865.50 and 877,659 is: 1,912,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,865.50 : 877,659 = 877,659 : x
  2. Step 2: Convert to fraction form
    402,865.50/877,659 = 877,659/x
  3. Step 3: Cross multiply
    402,865.50x = 877,659 × 877,659
  4. Step 4: Simplify right side
    402,865.50x = 770,285,320,281
  5. Step 5: Solve for x
    x = 770,285,320,281/402,865.50
  6. Step 6: Final answer
    x = 1,912,016.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.