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Finding the Third Proportional to 260,012 and 560,472

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Solution

The third proportional to 260,012 and 560,472 is: 1,208,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,012 : 560,472 = 560,472 : x
  2. Step 2: Convert to fraction form
    260,012/560,472 = 560,472/x
  3. Step 3: Cross multiply
    260,012x = 560,472 × 560,472
  4. Step 4: Simplify right side
    260,012x = 314,128,862,784
  5. Step 5: Solve for x
    x = 314,128,862,784/260,012
  6. Step 6: Final answer
    x = 1,208,132.17

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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.