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Finding the Third Proportional to 432,674 and 645,410

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Solution

The third proportional to 432,674 and 645,410 is: 962,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,674 : 645,410 = 645,410 : x
  2. Step 2: Convert to fraction form
    432,674/645,410 = 645,410/x
  3. Step 3: Cross multiply
    432,674x = 645,410 × 645,410
  4. Step 4: Simplify right side
    432,674x = 416,554,068,100
  5. Step 5: Solve for x
    x = 416,554,068,100/432,674
  6. Step 6: Final answer
    x = 962,743.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.