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Finding the Third Proportional to 407,902 and 874,851.50

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Solution

The third proportional to 407,902 and 874,851.50 is: 1,876,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,902 : 874,851.50 = 874,851.50 : x
  2. Step 2: Convert to fraction form
    407,902/874,851.50 = 874,851.50/x
  3. Step 3: Cross multiply
    407,902x = 874,851.50 × 874,851.50
  4. Step 4: Simplify right side
    407,902x = 765,365,147,052.25
  5. Step 5: Solve for x
    x = 765,365,147,052.25/407,902
  6. Step 6: Final answer
    x = 1,876,345.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.