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Finding the Third Proportional to 275,264.50 and 402,276.50

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Solution

The third proportional to 275,264.50 and 402,276.50 is: 587,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,264.50 : 402,276.50 = 402,276.50 : x
  2. Step 2: Convert to fraction form
    275,264.50/402,276.50 = 402,276.50/x
  3. Step 3: Cross multiply
    275,264.50x = 402,276.50 × 402,276.50
  4. Step 4: Simplify right side
    275,264.50x = 161,826,382,452.25
  5. Step 5: Solve for x
    x = 161,826,382,452.25/275,264.50
  6. Step 6: Final answer
    x = 587,894.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.