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Finding the Third Proportional to 364,352 and 790,912

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Solution

The third proportional to 364,352 and 790,912 is: 1,716,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,352 : 790,912 = 790,912 : x
  2. Step 2: Convert to fraction form
    364,352/790,912 = 790,912/x
  3. Step 3: Cross multiply
    364,352x = 790,912 × 790,912
  4. Step 4: Simplify right side
    364,352x = 625,541,791,744
  5. Step 5: Solve for x
    x = 625,541,791,744/364,352
  6. Step 6: Final answer
    x = 1,716,861.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.