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Finding the Third Proportional to 631,985.75 and 894,240.50

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Solution

The third proportional to 631,985.75 and 894,240.50 is: 1,265,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,985.75 : 894,240.50 = 894,240.50 : x
  2. Step 2: Convert to fraction form
    631,985.75/894,240.50 = 894,240.50/x
  3. Step 3: Cross multiply
    631,985.75x = 894,240.50 × 894,240.50
  4. Step 4: Simplify right side
    631,985.75x = 799,666,071,840.25
  5. Step 5: Solve for x
    x = 799,666,071,840.25/631,985.75
  6. Step 6: Final answer
    x = 1,265,322.95

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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.