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Finding the Third Proportional to 294,607.13 and 450,468.84

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Solution

The third proportional to 294,607.13 and 450,468.84 is: 688,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,607.13 : 450,468.84 = 450,468.84 : x
  2. Step 2: Convert to fraction form
    294,607.13/450,468.84 = 450,468.84/x
  3. Step 3: Cross multiply
    294,607.13x = 450,468.84 × 450,468.84
  4. Step 4: Simplify right side
    294,607.13x = 202,922,179,189.46
  5. Step 5: Solve for x
    x = 202,922,179,189.46/294,607.13
  6. Step 6: Final answer
    x = 688,789.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.