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Finding the Third Proportional to 262,578 and 572,684

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Solution

The third proportional to 262,578 and 572,684 is: 1,249,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,578 : 572,684 = 572,684 : x
  2. Step 2: Convert to fraction form
    262,578/572,684 = 572,684/x
  3. Step 3: Cross multiply
    262,578x = 572,684 × 572,684
  4. Step 4: Simplify right side
    262,578x = 327,966,963,856
  5. Step 5: Solve for x
    x = 327,966,963,856/262,578
  6. Step 6: Final answer
    x = 1,249,026.82

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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.