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Finding the Third Proportional to 270,814.50 and 586,827

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Solution

The third proportional to 270,814.50 and 586,827 is: 1,271,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,814.50 : 586,827 = 586,827 : x
  2. Step 2: Convert to fraction form
    270,814.50/586,827 = 586,827/x
  3. Step 3: Cross multiply
    270,814.50x = 586,827 × 586,827
  4. Step 4: Simplify right side
    270,814.50x = 344,365,927,929
  5. Step 5: Solve for x
    x = 344,365,927,929/270,814.50
  6. Step 6: Final answer
    x = 1,271,593.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.