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Finding the Third Proportional to 345,968 and 752,486

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Solution

The third proportional to 345,968 and 752,486 is: 1,636,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,968 : 752,486 = 752,486 : x
  2. Step 2: Convert to fraction form
    345,968/752,486 = 752,486/x
  3. Step 3: Cross multiply
    345,968x = 752,486 × 752,486
  4. Step 4: Simplify right side
    345,968x = 566,235,180,196
  5. Step 5: Solve for x
    x = 566,235,180,196/345,968
  6. Step 6: Final answer
    x = 1,636,669.23

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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.