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Finding the Third Proportional to 282,926 and 615,613

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Solution

The third proportional to 282,926 and 615,613 is: 1,339,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,926 : 615,613 = 615,613 : x
  2. Step 2: Convert to fraction form
    282,926/615,613 = 615,613/x
  3. Step 3: Cross multiply
    282,926x = 615,613 × 615,613
  4. Step 4: Simplify right side
    282,926x = 378,979,365,769
  5. Step 5: Solve for x
    x = 378,979,365,769/282,926
  6. Step 6: Final answer
    x = 1,339,499.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.