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Finding the Third Proportional to 348,248 and 762,113

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Solution

The third proportional to 348,248 and 762,113 is: 1,667,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,248 : 762,113 = 762,113 : x
  2. Step 2: Convert to fraction form
    348,248/762,113 = 762,113/x
  3. Step 3: Cross multiply
    348,248x = 762,113 × 762,113
  4. Step 4: Simplify right side
    348,248x = 580,816,224,769
  5. Step 5: Solve for x
    x = 580,816,224,769/348,248
  6. Step 6: Final answer
    x = 1,667,823.58

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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.