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Finding the Third Proportional to 374,076 and 797,014

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Solution

The third proportional to 374,076 and 797,014 is: 1,698,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,076 : 797,014 = 797,014 : x
  2. Step 2: Convert to fraction form
    374,076/797,014 = 797,014/x
  3. Step 3: Cross multiply
    374,076x = 797,014 × 797,014
  4. Step 4: Simplify right side
    374,076x = 635,231,316,196
  5. Step 5: Solve for x
    x = 635,231,316,196/374,076
  6. Step 6: Final answer
    x = 1,698,134.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.