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Finding the Third Proportional to 349,257 and 534,033

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Solution

The third proportional to 349,257 and 534,033 is: 816,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,257 : 534,033 = 534,033 : x
  2. Step 2: Convert to fraction form
    349,257/534,033 = 534,033/x
  3. Step 3: Cross multiply
    349,257x = 534,033 × 534,033
  4. Step 4: Simplify right side
    349,257x = 285,191,245,089
  5. Step 5: Solve for x
    x = 285,191,245,089/349,257
  6. Step 6: Final answer
    x = 816,565.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.