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Finding the Third Proportional to 364,788 and 784,080

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Solution

The third proportional to 364,788 and 784,080 is: 1,685,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,788 : 784,080 = 784,080 : x
  2. Step 2: Convert to fraction form
    364,788/784,080 = 784,080/x
  3. Step 3: Cross multiply
    364,788x = 784,080 × 784,080
  4. Step 4: Simplify right side
    364,788x = 614,781,446,400
  5. Step 5: Solve for x
    x = 614,781,446,400/364,788
  6. Step 6: Final answer
    x = 1,685,311.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.