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Finding the Third Proportional to 348,900 and 553,374

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Solution

The third proportional to 348,900 and 553,374 is: 877,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,900 : 553,374 = 553,374 : x
  2. Step 2: Convert to fraction form
    348,900/553,374 = 553,374/x
  3. Step 3: Cross multiply
    348,900x = 553,374 × 553,374
  4. Step 4: Simplify right side
    348,900x = 306,222,783,876
  5. Step 5: Solve for x
    x = 306,222,783,876/348,900
  6. Step 6: Final answer
    x = 877,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.