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Finding the Third Proportional to 572,357 and 906,103

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Solution

The third proportional to 572,357 and 906,103 is: 1,434,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,357 : 906,103 = 906,103 : x
  2. Step 2: Convert to fraction form
    572,357/906,103 = 906,103/x
  3. Step 3: Cross multiply
    572,357x = 906,103 × 906,103
  4. Step 4: Simplify right side
    572,357x = 821,022,646,609
  5. Step 5: Solve for x
    x = 821,022,646,609/572,357
  6. Step 6: Final answer
    x = 1,434,458.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.