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Finding the Third Proportional to 563,324.63 and 859,176

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Solution

The third proportional to 563,324.63 and 859,176 is: 1,310,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,324.63 : 859,176 = 859,176 : x
  2. Step 2: Convert to fraction form
    563,324.63/859,176 = 859,176/x
  3. Step 3: Cross multiply
    563,324.63x = 859,176 × 859,176
  4. Step 4: Simplify right side
    563,324.63x = 738,183,398,976
  5. Step 5: Solve for x
    x = 738,183,398,976/563,324.63
  6. Step 6: Final answer
    x = 1,310,404.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.