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Finding the Third Proportional to 631,166.50 and 954,303

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Solution

The third proportional to 631,166.50 and 954,303 is: 1,442,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,166.50 : 954,303 = 954,303 : x
  2. Step 2: Convert to fraction form
    631,166.50/954,303 = 954,303/x
  3. Step 3: Cross multiply
    631,166.50x = 954,303 × 954,303
  4. Step 4: Simplify right side
    631,166.50x = 910,694,215,809
  5. Step 5: Solve for x
    x = 910,694,215,809/631,166.50
  6. Step 6: Final answer
    x = 1,442,874.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.