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Finding the Third Proportional to 342,242 and 750,820

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Solution

The third proportional to 342,242 and 750,820 is: 1,647,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,242 : 750,820 = 750,820 : x
  2. Step 2: Convert to fraction form
    342,242/750,820 = 750,820/x
  3. Step 3: Cross multiply
    342,242x = 750,820 × 750,820
  4. Step 4: Simplify right side
    342,242x = 563,730,672,400
  5. Step 5: Solve for x
    x = 563,730,672,400/342,242
  6. Step 6: Final answer
    x = 1,647,169.76

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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.