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Finding the Third Proportional to 262,294 and 561,986

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Solution

The third proportional to 262,294 and 561,986 is: 1,204,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,294 : 561,986 = 561,986 : x
  2. Step 2: Convert to fraction form
    262,294/561,986 = 561,986/x
  3. Step 3: Cross multiply
    262,294x = 561,986 × 561,986
  4. Step 4: Simplify right side
    262,294x = 315,828,264,196
  5. Step 5: Solve for x
    x = 315,828,264,196/262,294
  6. Step 6: Final answer
    x = 1,204,100.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.