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Finding the Third Proportional to 349,834 and 534,886

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Solution

The third proportional to 349,834 and 534,886 is: 817,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,834 : 534,886 = 534,886 : x
  2. Step 2: Convert to fraction form
    349,834/534,886 = 534,886/x
  3. Step 3: Cross multiply
    349,834x = 534,886 × 534,886
  4. Step 4: Simplify right side
    349,834x = 286,103,032,996
  5. Step 5: Solve for x
    x = 286,103,032,996/349,834
  6. Step 6: Final answer
    x = 817,825.12

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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.