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Finding the Third Proportional to 349,546 and 526,047

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Solution

The third proportional to 349,546 and 526,047 is: 791,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,546 : 526,047 = 526,047 : x
  2. Step 2: Convert to fraction form
    349,546/526,047 = 526,047/x
  3. Step 3: Cross multiply
    349,546x = 526,047 × 526,047
  4. Step 4: Simplify right side
    349,546x = 276,725,446,209
  5. Step 5: Solve for x
    x = 276,725,446,209/349,546
  6. Step 6: Final answer
    x = 791,671.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.