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Finding the Third Proportional to 349,368 and 821,256

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Solution

The third proportional to 349,368 and 821,256 is: 1,930,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,368 : 821,256 = 821,256 : x
  2. Step 2: Convert to fraction form
    349,368/821,256 = 821,256/x
  3. Step 3: Cross multiply
    349,368x = 821,256 × 821,256
  4. Step 4: Simplify right side
    349,368x = 674,461,417,536
  5. Step 5: Solve for x
    x = 674,461,417,536/349,368
  6. Step 6: Final answer
    x = 1,930,518.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.