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Finding the Third Proportional to 220,364 and 477,352

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Solution

The third proportional to 220,364 and 477,352 is: 1,034,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,364 : 477,352 = 477,352 : x
  2. Step 2: Convert to fraction form
    220,364/477,352 = 477,352/x
  3. Step 3: Cross multiply
    220,364x = 477,352 × 477,352
  4. Step 4: Simplify right side
    220,364x = 227,864,931,904
  5. Step 5: Solve for x
    x = 227,864,931,904/220,364
  6. Step 6: Final answer
    x = 1,034,038.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.