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Finding the Third Proportional to 296,407.50 and 650,427

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Solution

The third proportional to 296,407.50 and 650,427 is: 1,427,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,407.50 : 650,427 = 650,427 : x
  2. Step 2: Convert to fraction form
    296,407.50/650,427 = 650,427/x
  3. Step 3: Cross multiply
    296,407.50x = 650,427 × 650,427
  4. Step 4: Simplify right side
    296,407.50x = 423,055,282,329
  5. Step 5: Solve for x
    x = 423,055,282,329/296,407.50
  6. Step 6: Final answer
    x = 1,427,275.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.