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Finding the Third Proportional to 279,256 and 602,792

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Solution

The third proportional to 279,256 and 602,792 is: 1,301,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,256 : 602,792 = 602,792 : x
  2. Step 2: Convert to fraction form
    279,256/602,792 = 602,792/x
  3. Step 3: Cross multiply
    279,256x = 602,792 × 602,792
  4. Step 4: Simplify right side
    279,256x = 363,358,195,264
  5. Step 5: Solve for x
    x = 363,358,195,264/279,256
  6. Step 6: Final answer
    x = 1,301,165.22

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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.