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Finding the Third Proportional to 264,924 and 567,726

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Solution

The third proportional to 264,924 and 567,726 is: 1,216,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,924 : 567,726 = 567,726 : x
  2. Step 2: Convert to fraction form
    264,924/567,726 = 567,726/x
  3. Step 3: Cross multiply
    264,924x = 567,726 × 567,726
  4. Step 4: Simplify right side
    264,924x = 322,312,811,076
  5. Step 5: Solve for x
    x = 322,312,811,076/264,924
  6. Step 6: Final answer
    x = 1,216,623.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.