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Finding the Third Proportional to 292,209.75 and 448,845.75

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Solution

The third proportional to 292,209.75 and 448,845.75 is: 689,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,209.75 : 448,845.75 = 448,845.75 : x
  2. Step 2: Convert to fraction form
    292,209.75/448,845.75 = 448,845.75/x
  3. Step 3: Cross multiply
    292,209.75x = 448,845.75 × 448,845.75
  4. Step 4: Simplify right side
    292,209.75x = 201,462,507,293.06
  5. Step 5: Solve for x
    x = 201,462,507,293.06/292,209.75
  6. Step 6: Final answer
    x = 689,444.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.