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Finding the Third Proportional to 348,308 and 711,374

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Solution

The third proportional to 348,308 and 711,374 is: 1,452,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,308 : 711,374 = 711,374 : x
  2. Step 2: Convert to fraction form
    348,308/711,374 = 711,374/x
  3. Step 3: Cross multiply
    348,308x = 711,374 × 711,374
  4. Step 4: Simplify right side
    348,308x = 506,052,967,876
  5. Step 5: Solve for x
    x = 506,052,967,876/348,308
  6. Step 6: Final answer
    x = 1,452,889.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.