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Finding the Third Proportional to 410,367.94 and 655,570.13

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Solution

The third proportional to 410,367.94 and 655,570.13 is: 1,047,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,367.94 : 655,570.13 = 655,570.13 : x
  2. Step 2: Convert to fraction form
    410,367.94/655,570.13 = 655,570.13/x
  3. Step 3: Cross multiply
    410,367.94x = 655,570.13 × 655,570.13
  4. Step 4: Simplify right side
    410,367.94x = 429,772,188,792.52
  5. Step 5: Solve for x
    x = 429,772,188,792.52/410,367.94
  6. Step 6: Final answer
    x = 1,047,285.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.