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Finding the Third Proportional to 443,382 and 953,289

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Solution

The third proportional to 443,382 and 953,289 is: 2,049,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,382 : 953,289 = 953,289 : x
  2. Step 2: Convert to fraction form
    443,382/953,289 = 953,289/x
  3. Step 3: Cross multiply
    443,382x = 953,289 × 953,289
  4. Step 4: Simplify right side
    443,382x = 908,759,917,521
  5. Step 5: Solve for x
    x = 908,759,917,521/443,382
  6. Step 6: Final answer
    x = 2,049,609.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.