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Finding the Third Proportional to 265,410 and 561,924

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Solution

The third proportional to 265,410 and 561,924 is: 1,189,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,410 : 561,924 = 561,924 : x
  2. Step 2: Convert to fraction form
    265,410/561,924 = 561,924/x
  3. Step 3: Cross multiply
    265,410x = 561,924 × 561,924
  4. Step 4: Simplify right side
    265,410x = 315,758,581,776
  5. Step 5: Solve for x
    x = 315,758,581,776/265,410
  6. Step 6: Final answer
    x = 1,189,701.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.