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Finding the Third Proportional to 373,918.50 and 810,927

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Solution

The third proportional to 373,918.50 and 810,927 is: 1,758,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,918.50 : 810,927 = 810,927 : x
  2. Step 2: Convert to fraction form
    373,918.50/810,927 = 810,927/x
  3. Step 3: Cross multiply
    373,918.50x = 810,927 × 810,927
  4. Step 4: Simplify right side
    373,918.50x = 657,602,599,329
  5. Step 5: Solve for x
    x = 657,602,599,329/373,918.50
  6. Step 6: Final answer
    x = 1,758,678.96

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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.