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Finding the Third Proportional to 232,809.75 and 360,614.25

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Solution

The third proportional to 232,809.75 and 360,614.25 is: 558,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,809.75 : 360,614.25 = 360,614.25 : x
  2. Step 2: Convert to fraction form
    232,809.75/360,614.25 = 360,614.25/x
  3. Step 3: Cross multiply
    232,809.75x = 360,614.25 × 360,614.25
  4. Step 4: Simplify right side
    232,809.75x = 130,042,637,303.06
  5. Step 5: Solve for x
    x = 130,042,637,303.06/232,809.75
  6. Step 6: Final answer
    x = 558,579.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.