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Finding the Third Proportional to 437,532.75 and 674,966.25

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Solution

The third proportional to 437,532.75 and 674,966.25 is: 1,041,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,532.75 : 674,966.25 = 674,966.25 : x
  2. Step 2: Convert to fraction form
    437,532.75/674,966.25 = 674,966.25/x
  3. Step 3: Cross multiply
    437,532.75x = 674,966.25 × 674,966.25
  4. Step 4: Simplify right side
    437,532.75x = 455,579,438,639.06
  5. Step 5: Solve for x
    x = 455,579,438,639.06/437,532.75
  6. Step 6: Final answer
    x = 1,041,246.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.