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Finding the Third Proportional to 407,827.41 and 874,703.81

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Solution

The third proportional to 407,827.41 and 874,703.81 is: 1,876,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.41 : 874,703.81 = 874,703.81 : x
  2. Step 2: Convert to fraction form
    407,827.41/874,703.81 = 874,703.81/x
  3. Step 3: Cross multiply
    407,827.41x = 874,703.81 × 874,703.81
  4. Step 4: Simplify right side
    407,827.41x = 765,106,759,602.04
  5. Step 5: Solve for x
    x = 765,106,759,602.04/407,827.41
  6. Step 6: Final answer
    x = 1,876,055.28

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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.