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Finding the Third Proportional to 471,966.19 and 748,510.88

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Solution

The third proportional to 471,966.19 and 748,510.88 is: 1,187,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,966.19 : 748,510.88 = 748,510.88 : x
  2. Step 2: Convert to fraction form
    471,966.19/748,510.88 = 748,510.88/x
  3. Step 3: Cross multiply
    471,966.19x = 748,510.88 × 748,510.88
  4. Step 4: Simplify right side
    471,966.19x = 560,268,529,993.27
  5. Step 5: Solve for x
    x = 560,268,529,993.27/471,966.19
  6. Step 6: Final answer
    x = 1,187,094.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.