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Finding the Third Proportional to 467,520 and 701,280

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Solution

The third proportional to 467,520 and 701,280 is: 1,051,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,520 : 701,280 = 701,280 : x
  2. Step 2: Convert to fraction form
    467,520/701,280 = 701,280/x
  3. Step 3: Cross multiply
    467,520x = 701,280 × 701,280
  4. Step 4: Simplify right side
    467,520x = 491,793,638,400
  5. Step 5: Solve for x
    x = 491,793,638,400/467,520
  6. Step 6: Final answer
    x = 1,051,920

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.