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Finding the Third Proportional to 262,617 and 576,294

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Solution

The third proportional to 262,617 and 576,294 is: 1,264,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,617 : 576,294 = 576,294 : x
  2. Step 2: Convert to fraction form
    262,617/576,294 = 576,294/x
  3. Step 3: Cross multiply
    262,617x = 576,294 × 576,294
  4. Step 4: Simplify right side
    262,617x = 332,114,774,436
  5. Step 5: Solve for x
    x = 332,114,774,436/262,617
  6. Step 6: Final answer
    x = 1,264,635.47

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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.