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Finding the Third Proportional to 368,282 and 773,716

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Solution

The third proportional to 368,282 and 773,716 is: 1,625,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,282 : 773,716 = 773,716 : x
  2. Step 2: Convert to fraction form
    368,282/773,716 = 773,716/x
  3. Step 3: Cross multiply
    368,282x = 773,716 × 773,716
  4. Step 4: Simplify right side
    368,282x = 598,636,448,656
  5. Step 5: Solve for x
    x = 598,636,448,656/368,282
  6. Step 6: Final answer
    x = 1,625,483.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.