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Finding the Third Proportional to 342,359 and 534,265

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Solution

The third proportional to 342,359 and 534,265 is: 833,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,359 : 534,265 = 534,265 : x
  2. Step 2: Convert to fraction form
    342,359/534,265 = 534,265/x
  3. Step 3: Cross multiply
    342,359x = 534,265 × 534,265
  4. Step 4: Simplify right side
    342,359x = 285,439,090,225
  5. Step 5: Solve for x
    x = 285,439,090,225/342,359
  6. Step 6: Final answer
    x = 833,742.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.