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Finding the Third Proportional to 340,988 and 534,950

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Solution

The third proportional to 340,988 and 534,950 is: 839,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,988 : 534,950 = 534,950 : x
  2. Step 2: Convert to fraction form
    340,988/534,950 = 534,950/x
  3. Step 3: Cross multiply
    340,988x = 534,950 × 534,950
  4. Step 4: Simplify right side
    340,988x = 286,171,502,500
  5. Step 5: Solve for x
    x = 286,171,502,500/340,988
  6. Step 6: Final answer
    x = 839,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.