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Finding the Third Proportional to 594,923.06 and 906,326.72

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Solution

The third proportional to 594,923.06 and 906,326.72 is: 1,380,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,923.06 : 906,326.72 = 906,326.72 : x
  2. Step 2: Convert to fraction form
    594,923.06/906,326.72 = 906,326.72/x
  3. Step 3: Cross multiply
    594,923.06x = 906,326.72 × 906,326.72
  4. Step 4: Simplify right side
    594,923.06x = 821,428,121,120.14
  5. Step 5: Solve for x
    x = 821,428,121,120.14/594,923.06
  6. Step 6: Final answer
    x = 1,380,730.00

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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.