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Finding the Third Proportional to 342,033 and 526,497

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Solution

The third proportional to 342,033 and 526,497 is: 810,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,033 : 526,497 = 526,497 : x
  2. Step 2: Convert to fraction form
    342,033/526,497 = 526,497/x
  3. Step 3: Cross multiply
    342,033x = 526,497 × 526,497
  4. Step 4: Simplify right side
    342,033x = 277,199,091,009
  5. Step 5: Solve for x
    x = 277,199,091,009/342,033
  6. Step 6: Final answer
    x = 810,445.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.