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Finding the Third Proportional to 407,966.63 and 872,066.25

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Solution

The third proportional to 407,966.63 and 872,066.25 is: 1,864,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,966.63 : 872,066.25 = 872,066.25 : x
  2. Step 2: Convert to fraction form
    407,966.63/872,066.25 = 872,066.25/x
  3. Step 3: Cross multiply
    407,966.63x = 872,066.25 × 872,066.25
  4. Step 4: Simplify right side
    407,966.63x = 760,499,544,389.06
  5. Step 5: Solve for x
    x = 760,499,544,389.06/407,966.63
  6. Step 6: Final answer
    x = 1,864,121.96

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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.