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Finding the Third Proportional to 342,496 and 545,466

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Solution

The third proportional to 342,496 and 545,466 is: 868,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,496 : 545,466 = 545,466 : x
  2. Step 2: Convert to fraction form
    342,496/545,466 = 545,466/x
  3. Step 3: Cross multiply
    342,496x = 545,466 × 545,466
  4. Step 4: Simplify right side
    342,496x = 297,533,157,156
  5. Step 5: Solve for x
    x = 297,533,157,156/342,496
  6. Step 6: Final answer
    x = 868,720.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.