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Finding the Third Proportional to 264,844.69 and 578,895.19

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Solution

The third proportional to 264,844.69 and 578,895.19 is: 1,265,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,844.69 : 578,895.19 = 578,895.19 : x
  2. Step 2: Convert to fraction form
    264,844.69/578,895.19 = 578,895.19/x
  3. Step 3: Cross multiply
    264,844.69x = 578,895.19 × 578,895.19
  4. Step 4: Simplify right side
    264,844.69x = 335,119,638,110.66
  5. Step 5: Solve for x
    x = 335,119,638,110.66/264,844.69
  6. Step 6: Final answer
    x = 1,265,344.01

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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.