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Finding the Third Proportional to 563,579.65 and 1,146,842.30

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Solution

The third proportional to 563,579.65 and 1,146,842.30 is: 2,333,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,579.65 : 1,146,842.30 = 1,146,842.30 : x
  2. Step 2: Convert to fraction form
    563,579.65/1,146,842.30 = 1,146,842.30/x
  3. Step 3: Cross multiply
    563,579.65x = 1,146,842.30 × 1,146,842.30
  4. Step 4: Simplify right side
    563,579.65x = 1,315,247,253,901.53
  5. Step 5: Solve for x
    x = 1,315,247,253,901.53/563,579.65
  6. Step 6: Final answer
    x = 2,333,738.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.