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Finding the Third Proportional to 288,849.75 and 623,373

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Solution

The third proportional to 288,849.75 and 623,373 is: 1,345,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,849.75 : 623,373 = 623,373 : x
  2. Step 2: Convert to fraction form
    288,849.75/623,373 = 623,373/x
  3. Step 3: Cross multiply
    288,849.75x = 623,373 × 623,373
  4. Step 4: Simplify right side
    288,849.75x = 388,593,897,129
  5. Step 5: Solve for x
    x = 388,593,897,129/288,849.75
  6. Step 6: Final answer
    x = 1,345,314.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.