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Finding the Third Proportional to 321,994.25 and 500,716.13

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Solution

The third proportional to 321,994.25 and 500,716.13 is: 778,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,994.25 : 500,716.13 = 500,716.13 : x
  2. Step 2: Convert to fraction form
    321,994.25/500,716.13 = 500,716.13/x
  3. Step 3: Cross multiply
    321,994.25x = 500,716.13 × 500,716.13
  4. Step 4: Simplify right side
    321,994.25x = 250,716,637,835.02
  5. Step 5: Solve for x
    x = 250,716,637,835.02/321,994.25
  6. Step 6: Final answer
    x = 778,637.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.