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Finding the Third Proportional to 350,504 and 760,058

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Solution

The third proportional to 350,504 and 760,058 is: 1,648,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,504 : 760,058 = 760,058 : x
  2. Step 2: Convert to fraction form
    350,504/760,058 = 760,058/x
  3. Step 3: Cross multiply
    350,504x = 760,058 × 760,058
  4. Step 4: Simplify right side
    350,504x = 577,688,163,364
  5. Step 5: Solve for x
    x = 577,688,163,364/350,504
  6. Step 6: Final answer
    x = 1,648,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.