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Finding the Third Proportional to 594,918.42 and 906,319.55

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Solution

The third proportional to 594,918.42 and 906,319.55 is: 1,380,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,918.42 : 906,319.55 = 906,319.55 : x
  2. Step 2: Convert to fraction form
    594,918.42/906,319.55 = 906,319.55/x
  3. Step 3: Cross multiply
    594,918.42x = 906,319.55 × 906,319.55
  4. Step 4: Simplify right side
    594,918.42x = 821,415,121,047.71
  5. Step 5: Solve for x
    x = 821,415,121,047.71/594,918.42
  6. Step 6: Final answer
    x = 1,380,718.92

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