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Finding the Third Proportional to 594,929 and 906,335.75

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Solution

The third proportional to 594,929 and 906,335.75 is: 1,380,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,929 : 906,335.75 = 906,335.75 : x
  2. Step 2: Convert to fraction form
    594,929/906,335.75 = 906,335.75/x
  3. Step 3: Cross multiply
    594,929x = 906,335.75 × 906,335.75
  4. Step 4: Simplify right side
    594,929x = 821,444,491,728.06
  5. Step 5: Solve for x
    x = 821,444,491,728.06/594,929
  6. Step 6: Final answer
    x = 1,380,743.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.