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Finding the Third Proportional to 273,413 and 410,113

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Solution

The third proportional to 273,413 and 410,113 is: 615,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,413 : 410,113 = 410,113 : x
  2. Step 2: Convert to fraction form
    273,413/410,113 = 410,113/x
  3. Step 3: Cross multiply
    273,413x = 410,113 × 410,113
  4. Step 4: Simplify right side
    273,413x = 168,192,672,769
  5. Step 5: Solve for x
    x = 168,192,672,769/273,413
  6. Step 6: Final answer
    x = 615,159.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.