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Finding the Third Proportional to 261,616.50 and 402,630.75

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Solution

The third proportional to 261,616.50 and 402,630.75 is: 619,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,616.50 : 402,630.75 = 402,630.75 : x
  2. Step 2: Convert to fraction form
    261,616.50/402,630.75 = 402,630.75/x
  3. Step 3: Cross multiply
    261,616.50x = 402,630.75 × 402,630.75
  4. Step 4: Simplify right side
    261,616.50x = 162,111,520,845.56
  5. Step 5: Solve for x
    x = 162,111,520,845.56/261,616.50
  6. Step 6: Final answer
    x = 619,653.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.