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Finding the Third Proportional to 265,127 and 560,961

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Solution

The third proportional to 265,127 and 560,961 is: 1,186,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,127 : 560,961 = 560,961 : x
  2. Step 2: Convert to fraction form
    265,127/560,961 = 560,961/x
  3. Step 3: Cross multiply
    265,127x = 560,961 × 560,961
  4. Step 4: Simplify right side
    265,127x = 314,677,243,521
  5. Step 5: Solve for x
    x = 314,677,243,521/265,127
  6. Step 6: Final answer
    x = 1,186,892.48

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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.