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Finding the Third Proportional to 407,892.50 and 874,833.50

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Solution

The third proportional to 407,892.50 and 874,833.50 is: 1,876,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,892.50 : 874,833.50 = 874,833.50 : x
  2. Step 2: Convert to fraction form
    407,892.50/874,833.50 = 874,833.50/x
  3. Step 3: Cross multiply
    407,892.50x = 874,833.50 × 874,833.50
  4. Step 4: Simplify right side
    407,892.50x = 765,333,652,722.25
  5. Step 5: Solve for x
    x = 765,333,652,722.25/407,892.50
  6. Step 6: Final answer
    x = 1,876,312.15

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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.