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Finding the Third Proportional to 382,359 and 832,966.50

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Solution

The third proportional to 382,359 and 832,966.50 is: 1,814,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,359 : 832,966.50 = 832,966.50 : x
  2. Step 2: Convert to fraction form
    382,359/832,966.50 = 832,966.50/x
  3. Step 3: Cross multiply
    382,359x = 832,966.50 × 832,966.50
  4. Step 4: Simplify right side
    382,359x = 693,833,190,122.25
  5. Step 5: Solve for x
    x = 693,833,190,122.25/382,359
  6. Step 6: Final answer
    x = 1,814,611.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.