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Finding the Third Proportional to 344,590 and 790,926

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Solution

The third proportional to 344,590 and 790,926 is: 1,815,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,590 : 790,926 = 790,926 : x
  2. Step 2: Convert to fraction form
    344,590/790,926 = 790,926/x
  3. Step 3: Cross multiply
    344,590x = 790,926 × 790,926
  4. Step 4: Simplify right side
    344,590x = 625,563,937,476
  5. Step 5: Solve for x
    x = 625,563,937,476/344,590
  6. Step 6: Final answer
    x = 1,815,386.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.