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Finding the Third Proportional to 488,551.50 and 754,973.16

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Solution

The third proportional to 488,551.50 and 754,973.16 is: 1,166,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,551.50 : 754,973.16 = 754,973.16 : x
  2. Step 2: Convert to fraction form
    488,551.50/754,973.16 = 754,973.16/x
  3. Step 3: Cross multiply
    488,551.50x = 754,973.16 × 754,973.16
  4. Step 4: Simplify right side
    488,551.50x = 569,984,466,658.09
  5. Step 5: Solve for x
    x = 569,984,466,658.09/488,551.50
  6. Step 6: Final answer
    x = 1,166,682.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.