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Finding the Third Proportional to 431,564 and 957,448

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Solution

The third proportional to 431,564 and 957,448 is: 2,124,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,564 : 957,448 = 957,448 : x
  2. Step 2: Convert to fraction form
    431,564/957,448 = 957,448/x
  3. Step 3: Cross multiply
    431,564x = 957,448 × 957,448
  4. Step 4: Simplify right side
    431,564x = 916,706,672,704
  5. Step 5: Solve for x
    x = 916,706,672,704/431,564
  6. Step 6: Final answer
    x = 2,124,150.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.