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Finding the Third Proportional to 468,328.50 and 1,023,332.06

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Solution

The third proportional to 468,328.50 and 1,023,332.06 is: 2,236,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,328.50 : 1,023,332.06 = 1,023,332.06 : x
  2. Step 2: Convert to fraction form
    468,328.50/1,023,332.06 = 1,023,332.06/x
  3. Step 3: Cross multiply
    468,328.50x = 1,023,332.06 × 1,023,332.06
  4. Step 4: Simplify right side
    468,328.50x = 1,047,208,510,140.50
  5. Step 5: Solve for x
    x = 1,047,208,510,140.50/468,328.50
  6. Step 6: Final answer
    x = 2,236,055.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.