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Finding the Third Proportional to 215,532 and 465,480

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Solution

The third proportional to 215,532 and 465,480 is: 1,005,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,532 : 465,480 = 465,480 : x
  2. Step 2: Convert to fraction form
    215,532/465,480 = 465,480/x
  3. Step 3: Cross multiply
    215,532x = 465,480 × 465,480
  4. Step 4: Simplify right side
    215,532x = 216,671,630,400
  5. Step 5: Solve for x
    x = 216,671,630,400/215,532
  6. Step 6: Final answer
    x = 1,005,287.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.