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Finding the Third Proportional to 348,058 and 553,834

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Solution

The third proportional to 348,058 and 553,834 is: 881,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,058 : 553,834 = 553,834 : x
  2. Step 2: Convert to fraction form
    348,058/553,834 = 553,834/x
  3. Step 3: Cross multiply
    348,058x = 553,834 × 553,834
  4. Step 4: Simplify right side
    348,058x = 306,732,099,556
  5. Step 5: Solve for x
    x = 306,732,099,556/348,058
  6. Step 6: Final answer
    x = 881,267.20

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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.