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Finding the Third Proportional to 465,436 and 702,042

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Solution

The third proportional to 465,436 and 702,042 is: 1,058,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,436 : 702,042 = 702,042 : x
  2. Step 2: Convert to fraction form
    465,436/702,042 = 702,042/x
  3. Step 3: Cross multiply
    465,436x = 702,042 × 702,042
  4. Step 4: Simplify right side
    465,436x = 492,862,969,764
  5. Step 5: Solve for x
    x = 492,862,969,764/465,436
  6. Step 6: Final answer
    x = 1,058,927.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.