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Finding the Third Proportional to 340,965 and 534,877.50

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Solution

The third proportional to 340,965 and 534,877.50 is: 839,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,965 : 534,877.50 = 534,877.50 : x
  2. Step 2: Convert to fraction form
    340,965/534,877.50 = 534,877.50/x
  3. Step 3: Cross multiply
    340,965x = 534,877.50 × 534,877.50
  4. Step 4: Simplify right side
    340,965x = 286,093,940,006.25
  5. Step 5: Solve for x
    x = 286,093,940,006.25/340,965
  6. Step 6: Final answer
    x = 839,071.28

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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.