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Finding the Third Proportional to 264,916 and 567,709

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Solution

The third proportional to 264,916 and 567,709 is: 1,216,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,916 : 567,709 = 567,709 : x
  2. Step 2: Convert to fraction form
    264,916/567,709 = 567,709/x
  3. Step 3: Cross multiply
    264,916x = 567,709 × 567,709
  4. Step 4: Simplify right side
    264,916x = 322,293,508,681
  5. Step 5: Solve for x
    x = 322,293,508,681/264,916
  6. Step 6: Final answer
    x = 1,216,587.55

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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.