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Finding the Third Proportional to 264,216 and 575,088

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Solution

The third proportional to 264,216 and 575,088 is: 1,251,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,216 : 575,088 = 575,088 : x
  2. Step 2: Convert to fraction form
    264,216/575,088 = 575,088/x
  3. Step 3: Cross multiply
    264,216x = 575,088 × 575,088
  4. Step 4: Simplify right side
    264,216x = 330,726,207,744
  5. Step 5: Solve for x
    x = 330,726,207,744/264,216
  6. Step 6: Final answer
    x = 1,251,726.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.