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Finding the Third Proportional to 341,058 and 717,468

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Solution

The third proportional to 341,058 and 717,468 is: 1,509,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,058 : 717,468 = 717,468 : x
  2. Step 2: Convert to fraction form
    341,058/717,468 = 717,468/x
  3. Step 3: Cross multiply
    341,058x = 717,468 × 717,468
  4. Step 4: Simplify right side
    341,058x = 514,760,331,024
  5. Step 5: Solve for x
    x = 514,760,331,024/341,058
  6. Step 6: Final answer
    x = 1,509,304.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.