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Finding the Third Proportional to 597,588 and 1,294,744.50

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Solution

The third proportional to 597,588 and 1,294,744.50 is: 2,805,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,588 : 1,294,744.50 = 1,294,744.50 : x
  2. Step 2: Convert to fraction form
    597,588/1,294,744.50 = 1,294,744.50/x
  3. Step 3: Cross multiply
    597,588x = 1,294,744.50 × 1,294,744.50
  4. Step 4: Simplify right side
    597,588x = 1,676,363,320,280.25
  5. Step 5: Solve for x
    x = 1,676,363,320,280.25/597,588
  6. Step 6: Final answer
    x = 2,805,215.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.