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Finding the Third Proportional to 265,988 and 568,840

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Solution

The third proportional to 265,988 and 568,840 is: 1,216,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 568,840 = 568,840 : x
  2. Step 2: Convert to fraction form
    265,988/568,840 = 568,840/x
  3. Step 3: Cross multiply
    265,988x = 568,840 × 568,840
  4. Step 4: Simplify right side
    265,988x = 323,578,945,600
  5. Step 5: Solve for x
    x = 323,578,945,600/265,988
  6. Step 6: Final answer
    x = 1,216,517.08

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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.