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Finding the Third Proportional to 380,601 and 829,008

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Solution

The third proportional to 380,601 and 829,008 is: 1,805,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,601 : 829,008 = 829,008 : x
  2. Step 2: Convert to fraction form
    380,601/829,008 = 829,008/x
  3. Step 3: Cross multiply
    380,601x = 829,008 × 829,008
  4. Step 4: Simplify right side
    380,601x = 687,254,264,064
  5. Step 5: Solve for x
    x = 687,254,264,064/380,601
  6. Step 6: Final answer
    x = 1,805,707.98

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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.