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Finding the Third Proportional to 262,926 and 586,720.13

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Solution

The third proportional to 262,926 and 586,720.13 is: 1,309,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,926 : 586,720.13 = 586,720.13 : x
  2. Step 2: Convert to fraction form
    262,926/586,720.13 = 586,720.13/x
  3. Step 3: Cross multiply
    262,926x = 586,720.13 × 586,720.13
  4. Step 4: Simplify right side
    262,926x = 344,240,505,080.02
  5. Step 5: Solve for x
    x = 344,240,505,080.02/262,926
  6. Step 6: Final answer
    x = 1,309,267.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.