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Finding the Third Proportional to 535,278.38 and 1,249,025.63

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Solution

The third proportional to 535,278.38 and 1,249,025.63 is: 2,914,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,278.38 : 1,249,025.63 = 1,249,025.63 : x
  2. Step 2: Convert to fraction form
    535,278.38/1,249,025.63 = 1,249,025.63/x
  3. Step 3: Cross multiply
    535,278.38x = 1,249,025.63 × 1,249,025.63
  4. Step 4: Simplify right side
    535,278.38x = 1,560,065,011,906.64
  5. Step 5: Solve for x
    x = 1,560,065,011,906.64/535,278.38
  6. Step 6: Final answer
    x = 2,914,492.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.