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Finding the Third Proportional to 348,032 and 763,294

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Solution

The third proportional to 348,032 and 763,294 is: 1,674,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,032 : 763,294 = 763,294 : x
  2. Step 2: Convert to fraction form
    348,032/763,294 = 763,294/x
  3. Step 3: Cross multiply
    348,032x = 763,294 × 763,294
  4. Step 4: Simplify right side
    348,032x = 582,617,730,436
  5. Step 5: Solve for x
    x = 582,617,730,436/348,032
  6. Step 6: Final answer
    x = 1,674,034.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.