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Finding the Third Proportional to 407,280.66 and 877,637.53

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Solution

The third proportional to 407,280.66 and 877,637.53 is: 1,891,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,280.66 : 877,637.53 = 877,637.53 : x
  2. Step 2: Convert to fraction form
    407,280.66/877,637.53 = 877,637.53/x
  3. Step 3: Cross multiply
    407,280.66x = 877,637.53 × 877,637.53
  4. Step 4: Simplify right side
    407,280.66x = 770,247,636,258.60
  5. Step 5: Solve for x
    x = 770,247,636,258.60/407,280.66
  6. Step 6: Final answer
    x = 1,891,196.22

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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.