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Finding the Third Proportional to 474,817.50 and 680,159.25

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Solution

The third proportional to 474,817.50 and 680,159.25 is: 974,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,817.50 : 680,159.25 = 680,159.25 : x
  2. Step 2: Convert to fraction form
    474,817.50/680,159.25 = 680,159.25/x
  3. Step 3: Cross multiply
    474,817.50x = 680,159.25 × 680,159.25
  4. Step 4: Simplify right side
    474,817.50x = 462,616,605,360.56
  5. Step 5: Solve for x
    x = 462,616,605,360.56/474,817.50
  6. Step 6: Final answer
    x = 974,304.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.