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Finding the Third Proportional to 566,560.13 and 1,159,299

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Solution

The third proportional to 566,560.13 and 1,159,299 is: 2,372,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,560.13 : 1,159,299 = 1,159,299 : x
  2. Step 2: Convert to fraction form
    566,560.13/1,159,299 = 1,159,299/x
  3. Step 3: Cross multiply
    566,560.13x = 1,159,299 × 1,159,299
  4. Step 4: Simplify right side
    566,560.13x = 1,343,974,171,401
  5. Step 5: Solve for x
    x = 1,343,974,171,401/566,560.13
  6. Step 6: Final answer
    x = 2,372,165.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.