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Finding the Third Proportional to 534,501.28 and 1,152,549

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Solution

The third proportional to 534,501.28 and 1,152,549 is: 2,485,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,501.28 : 1,152,549 = 1,152,549 : x
  2. Step 2: Convert to fraction form
    534,501.28/1,152,549 = 1,152,549/x
  3. Step 3: Cross multiply
    534,501.28x = 1,152,549 × 1,152,549
  4. Step 4: Simplify right side
    534,501.28x = 1,328,369,197,401
  5. Step 5: Solve for x
    x = 1,328,369,197,401/534,501.28
  6. Step 6: Final answer
    x = 2,485,249.79

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Why These Related Problems?

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