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Finding the Third Proportional to 448,004.67 and 967,326.05

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Solution

The third proportional to 448,004.67 and 967,326.05 is: 2,088,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,004.67 : 967,326.05 = 967,326.05 : x
  2. Step 2: Convert to fraction form
    448,004.67/967,326.05 = 967,326.05/x
  3. Step 3: Cross multiply
    448,004.67x = 967,326.05 × 967,326.05
  4. Step 4: Simplify right side
    448,004.67x = 935,719,680,962.82
  5. Step 5: Solve for x
    x = 935,719,680,962.82/448,004.67
  6. Step 6: Final answer
    x = 2,088,638.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.