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Finding the Third Proportional to 369,072 and 807,074

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Solution

The third proportional to 369,072 and 807,074 is: 1,764,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,072 : 807,074 = 807,074 : x
  2. Step 2: Convert to fraction form
    369,072/807,074 = 807,074/x
  3. Step 3: Cross multiply
    369,072x = 807,074 × 807,074
  4. Step 4: Simplify right side
    369,072x = 651,368,441,476
  5. Step 5: Solve for x
    x = 651,368,441,476/369,072
  6. Step 6: Final answer
    x = 1,764,881.76

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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.