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Finding the Third Proportional to 407,398.50 and 877,207.50

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Solution

The third proportional to 407,398.50 and 877,207.50 is: 1,888,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,398.50 : 877,207.50 = 877,207.50 : x
  2. Step 2: Convert to fraction form
    407,398.50/877,207.50 = 877,207.50/x
  3. Step 3: Cross multiply
    407,398.50x = 877,207.50 × 877,207.50
  4. Step 4: Simplify right side
    407,398.50x = 769,492,998,056.25
  5. Step 5: Solve for x
    x = 769,492,998,056.25/407,398.50
  6. Step 6: Final answer
    x = 1,888,796.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.