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Finding the Third Proportional to 631,321.50 and 947,712

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Solution

The third proportional to 631,321.50 and 947,712 is: 1,422,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,321.50 : 947,712 = 947,712 : x
  2. Step 2: Convert to fraction form
    631,321.50/947,712 = 947,712/x
  3. Step 3: Cross multiply
    631,321.50x = 947,712 × 947,712
  4. Step 4: Simplify right side
    631,321.50x = 898,158,034,944
  5. Step 5: Solve for x
    x = 898,158,034,944/631,321.50
  6. Step 6: Final answer
    x = 1,422,663.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.