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Finding the Third Proportional to 597,300.75 and 1,289,614.50

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Solution

The third proportional to 597,300.75 and 1,289,614.50 is: 2,784,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,300.75 : 1,289,614.50 = 1,289,614.50 : x
  2. Step 2: Convert to fraction form
    597,300.75/1,289,614.50 = 1,289,614.50/x
  3. Step 3: Cross multiply
    597,300.75x = 1,289,614.50 × 1,289,614.50
  4. Step 4: Simplify right side
    597,300.75x = 1,663,105,558,610.25
  5. Step 5: Solve for x
    x = 1,663,105,558,610.25/597,300.75
  6. Step 6: Final answer
    x = 2,784,368.78

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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.