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Finding the Third Proportional to 349,046 and 526,480

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Solution

The third proportional to 349,046 and 526,480 is: 794,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,046 : 526,480 = 526,480 : x
  2. Step 2: Convert to fraction form
    349,046/526,480 = 526,480/x
  3. Step 3: Cross multiply
    349,046x = 526,480 × 526,480
  4. Step 4: Simplify right side
    349,046x = 277,181,190,400
  5. Step 5: Solve for x
    x = 277,181,190,400/349,046
  6. Step 6: Final answer
    x = 794,110.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.