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Finding the Third Proportional to 572,356.13 and 906,101.44

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Solution

The third proportional to 572,356.13 and 906,101.44 is: 1,434,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,356.13 : 906,101.44 = 906,101.44 : x
  2. Step 2: Convert to fraction form
    572,356.13/906,101.44 = 906,101.44/x
  3. Step 3: Cross multiply
    572,356.13x = 906,101.44 × 906,101.44
  4. Step 4: Simplify right side
    572,356.13x = 821,019,815,039.57
  5. Step 5: Solve for x
    x = 821,019,815,039.57/572,356.13
  6. Step 6: Final answer
    x = 1,434,456.24

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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.