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Finding the Third Proportional to 402,277 and 868,360

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Solution

The third proportional to 402,277 and 868,360 is: 1,874,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,277 : 868,360 = 868,360 : x
  2. Step 2: Convert to fraction form
    402,277/868,360 = 868,360/x
  3. Step 3: Cross multiply
    402,277x = 868,360 × 868,360
  4. Step 4: Simplify right side
    402,277x = 754,049,089,600
  5. Step 5: Solve for x
    x = 754,049,089,600/402,277
  6. Step 6: Final answer
    x = 1,874,452.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.