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Finding the Third Proportional to 441,664 and 953,264

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Solution

The third proportional to 441,664 and 953,264 is: 2,057,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,664 : 953,264 = 953,264 : x
  2. Step 2: Convert to fraction form
    441,664/953,264 = 953,264/x
  3. Step 3: Cross multiply
    441,664x = 953,264 × 953,264
  4. Step 4: Simplify right side
    441,664x = 908,712,253,696
  5. Step 5: Solve for x
    x = 908,712,253,696/441,664
  6. Step 6: Final answer
    x = 2,057,474.13

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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.