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Finding the Third Proportional to 347,704 and 526,432

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Solution

The third proportional to 347,704 and 526,432 is: 797,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,704 : 526,432 = 526,432 : x
  2. Step 2: Convert to fraction form
    347,704/526,432 = 526,432/x
  3. Step 3: Cross multiply
    347,704x = 526,432 × 526,432
  4. Step 4: Simplify right side
    347,704x = 277,130,650,624
  5. Step 5: Solve for x
    x = 277,130,650,624/347,704
  6. Step 6: Final answer
    x = 797,030.38

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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.