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Finding the Third Proportional to 714,574.50 and 1,532,760

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Solution

The third proportional to 714,574.50 and 1,532,760 is: 3,287,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,574.50 : 1,532,760 = 1,532,760 : x
  2. Step 2: Convert to fraction form
    714,574.50/1,532,760 = 1,532,760/x
  3. Step 3: Cross multiply
    714,574.50x = 1,532,760 × 1,532,760
  4. Step 4: Simplify right side
    714,574.50x = 2,349,353,217,600
  5. Step 5: Solve for x
    x = 2,349,353,217,600/714,574.50
  6. Step 6: Final answer
    x = 3,287,765.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.