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Finding the Third Proportional to 484,301 and 988,312

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Solution

The third proportional to 484,301 and 988,312 is: 2,016,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,301 : 988,312 = 988,312 : x
  2. Step 2: Convert to fraction form
    484,301/988,312 = 988,312/x
  3. Step 3: Cross multiply
    484,301x = 988,312 × 988,312
  4. Step 4: Simplify right side
    484,301x = 976,760,609,344
  5. Step 5: Solve for x
    x = 976,760,609,344/484,301
  6. Step 6: Final answer
    x = 2,016,846.15

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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.