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Finding the Third Proportional to 264,033 and 577,314

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Solution

The third proportional to 264,033 and 577,314 is: 1,262,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,033 : 577,314 = 577,314 : x
  2. Step 2: Convert to fraction form
    264,033/577,314 = 577,314/x
  3. Step 3: Cross multiply
    264,033x = 577,314 × 577,314
  4. Step 4: Simplify right side
    264,033x = 333,291,454,596
  5. Step 5: Solve for x
    x = 333,291,454,596/264,033
  6. Step 6: Final answer
    x = 1,262,309.84

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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.