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Finding the Third Proportional to 598,617 and 880,419.38

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Solution

The third proportional to 598,617 and 880,419.38 is: 1,294,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,617 : 880,419.38 = 880,419.38 : x
  2. Step 2: Convert to fraction form
    598,617/880,419.38 = 880,419.38/x
  3. Step 3: Cross multiply
    598,617x = 880,419.38 × 880,419.38
  4. Step 4: Simplify right side
    598,617x = 775,138,275,875.39
  5. Step 5: Solve for x
    x = 775,138,275,875.39/598,617
  6. Step 6: Final answer
    x = 1,294,881.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.