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Finding the Third Proportional to 346,335.75 and 531,991.13

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Solution

The third proportional to 346,335.75 and 531,991.13 is: 817,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,335.75 : 531,991.13 = 531,991.13 : x
  2. Step 2: Convert to fraction form
    346,335.75/531,991.13 = 531,991.13/x
  3. Step 3: Cross multiply
    346,335.75x = 531,991.13 × 531,991.13
  4. Step 4: Simplify right side
    346,335.75x = 283,014,557,078.77
  5. Step 5: Solve for x
    x = 283,014,557,078.77/346,335.75
  6. Step 6: Final answer
    x = 817,168.19

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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.