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Finding the Third Proportional to 292,272.05 and 448,659.63

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Solution

The third proportional to 292,272.05 and 448,659.63 is: 688,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,272.05 : 448,659.63 = 448,659.63 : x
  2. Step 2: Convert to fraction form
    292,272.05/448,659.63 = 448,659.63/x
  3. Step 3: Cross multiply
    292,272.05x = 448,659.63 × 448,659.63
  4. Step 4: Simplify right side
    292,272.05x = 201,295,466,115.45
  5. Step 5: Solve for x
    x = 201,295,466,115.45/292,272.05
  6. Step 6: Final answer
    x = 688,726.37

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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.