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Finding the Third Proportional to 264,886 and 577,372

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Solution

The third proportional to 264,886 and 577,372 is: 1,258,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,886 : 577,372 = 577,372 : x
  2. Step 2: Convert to fraction form
    264,886/577,372 = 577,372/x
  3. Step 3: Cross multiply
    264,886x = 577,372 × 577,372
  4. Step 4: Simplify right side
    264,886x = 333,358,426,384
  5. Step 5: Solve for x
    x = 333,358,426,384/264,886
  6. Step 6: Final answer
    x = 1,258,497.72

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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.