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Finding the Third Proportional to 185,938 and 402,790

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Solution

The third proportional to 185,938 and 402,790 is: 872,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,938 : 402,790 = 402,790 : x
  2. Step 2: Convert to fraction form
    185,938/402,790 = 402,790/x
  3. Step 3: Cross multiply
    185,938x = 402,790 × 402,790
  4. Step 4: Simplify right side
    185,938x = 162,239,784,100
  5. Step 5: Solve for x
    x = 162,239,784,100/185,938
  6. Step 6: Final answer
    x = 872,547.75

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