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Finding the Third Proportional to 631,987.50 and 894,242.50

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Solution

The third proportional to 631,987.50 and 894,242.50 is: 1,265,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,987.50 : 894,242.50 = 894,242.50 : x
  2. Step 2: Convert to fraction form
    631,987.50/894,242.50 = 894,242.50/x
  3. Step 3: Cross multiply
    631,987.50x = 894,242.50 × 894,242.50
  4. Step 4: Simplify right side
    631,987.50x = 799,669,648,806.25
  5. Step 5: Solve for x
    x = 799,669,648,806.25/631,987.50
  6. Step 6: Final answer
    x = 1,265,325.10

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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.