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Finding the Third Proportional to 434,758 and 927,294

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Solution

The third proportional to 434,758 and 927,294 is: 1,977,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,758 : 927,294 = 927,294 : x
  2. Step 2: Convert to fraction form
    434,758/927,294 = 927,294/x
  3. Step 3: Cross multiply
    434,758x = 927,294 × 927,294
  4. Step 4: Simplify right side
    434,758x = 859,874,162,436
  5. Step 5: Solve for x
    x = 859,874,162,436/434,758
  6. Step 6: Final answer
    x = 1,977,822.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.