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Finding the Third Proportional to 367,316 and 790,648

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Solution

The third proportional to 367,316 and 790,648 is: 1,701,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,316 : 790,648 = 790,648 : x
  2. Step 2: Convert to fraction form
    367,316/790,648 = 790,648/x
  3. Step 3: Cross multiply
    367,316x = 790,648 × 790,648
  4. Step 4: Simplify right side
    367,316x = 625,124,259,904
  5. Step 5: Solve for x
    x = 625,124,259,904/367,316
  6. Step 6: Final answer
    x = 1,701,870.49

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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.