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Finding the Third Proportional to 294,554.25 and 460,785.75

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Solution

The third proportional to 294,554.25 and 460,785.75 is: 720,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,554.25 : 460,785.75 = 460,785.75 : x
  2. Step 2: Convert to fraction form
    294,554.25/460,785.75 = 460,785.75/x
  3. Step 3: Cross multiply
    294,554.25x = 460,785.75 × 460,785.75
  4. Step 4: Simplify right side
    294,554.25x = 212,323,507,403.06
  5. Step 5: Solve for x
    x = 212,323,507,403.06/294,554.25
  6. Step 6: Final answer
    x = 720,829.89

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