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Finding the Third Proportional to 220,254 and 480,964

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Solution

The third proportional to 220,254 and 480,964 is: 1,050,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,254 : 480,964 = 480,964 : x
  2. Step 2: Convert to fraction form
    220,254/480,964 = 480,964/x
  3. Step 3: Cross multiply
    220,254x = 480,964 × 480,964
  4. Step 4: Simplify right side
    220,254x = 231,326,369,296
  5. Step 5: Solve for x
    x = 231,326,369,296/220,254
  6. Step 6: Final answer
    x = 1,050,270.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.