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Finding the Third Proportional to 369,074 and 807,078

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Solution

The third proportional to 369,074 and 807,078 is: 1,764,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,074 : 807,078 = 807,078 : x
  2. Step 2: Convert to fraction form
    369,074/807,078 = 807,078/x
  3. Step 3: Cross multiply
    369,074x = 807,078 × 807,078
  4. Step 4: Simplify right side
    369,074x = 651,374,898,084
  5. Step 5: Solve for x
    x = 651,374,898,084/369,074
  6. Step 6: Final answer
    x = 1,764,889.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.