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Finding the Third Proportional to 264,412.50 and 578,889

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Solution

The third proportional to 264,412.50 and 578,889 is: 1,267,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,412.50 : 578,889 = 578,889 : x
  2. Step 2: Convert to fraction form
    264,412.50/578,889 = 578,889/x
  3. Step 3: Cross multiply
    264,412.50x = 578,889 × 578,889
  4. Step 4: Simplify right side
    264,412.50x = 335,112,474,321
  5. Step 5: Solve for x
    x = 335,112,474,321/264,412.50
  6. Step 6: Final answer
    x = 1,267,385.14

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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.