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Finding the Third Proportional to 264,416 and 578,896

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Solution

The third proportional to 264,416 and 578,896 is: 1,267,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,416 : 578,896 = 578,896 : x
  2. Step 2: Convert to fraction form
    264,416/578,896 = 578,896/x
  3. Step 3: Cross multiply
    264,416x = 578,896 × 578,896
  4. Step 4: Simplify right side
    264,416x = 335,120,578,816
  5. Step 5: Solve for x
    x = 335,120,578,816/264,416
  6. Step 6: Final answer
    x = 1,267,399.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.