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Finding the Third Proportional to 360,284 and 784,000

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Solution

The third proportional to 360,284 and 784,000 is: 1,706,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,284 : 784,000 = 784,000 : x
  2. Step 2: Convert to fraction form
    360,284/784,000 = 784,000/x
  3. Step 3: Cross multiply
    360,284x = 784,000 × 784,000
  4. Step 4: Simplify right side
    360,284x = 614,656,000,000
  5. Step 5: Solve for x
    x = 614,656,000,000/360,284
  6. Step 6: Final answer
    x = 1,706,031.91

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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.