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Finding the Third Proportional to 288,081.72 and 631,047.74

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Solution

The third proportional to 288,081.72 and 631,047.74 is: 1,382,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,081.72 : 631,047.74 = 631,047.74 : x
  2. Step 2: Convert to fraction form
    288,081.72/631,047.74 = 631,047.74/x
  3. Step 3: Cross multiply
    288,081.72x = 631,047.74 × 631,047.74
  4. Step 4: Simplify right side
    288,081.72x = 398,221,255,384.97
  5. Step 5: Solve for x
    x = 398,221,255,384.97/288,081.72
  6. Step 6: Final answer
    x = 1,382,320.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.