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Finding the Third Proportional to 631,984.78 and 894,239.16

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Solution

The third proportional to 631,984.78 and 894,239.16 is: 1,265,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,984.78 : 894,239.16 = 894,239.16 : x
  2. Step 2: Convert to fraction form
    631,984.78/894,239.16 = 894,239.16/x
  3. Step 3: Cross multiply
    631,984.78x = 894,239.16 × 894,239.16
  4. Step 4: Simplify right side
    631,984.78x = 799,663,668,570.71
  5. Step 5: Solve for x
    x = 799,663,668,570.71/631,984.78
  6. Step 6: Final answer
    x = 1,265,321.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.