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Finding the Third Proportional to 448,708.99 and 666,017.44

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Solution

The third proportional to 448,708.99 and 666,017.44 is: 988,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,708.99 : 666,017.44 = 666,017.44 : x
  2. Step 2: Convert to fraction form
    448,708.99/666,017.44 = 666,017.44/x
  3. Step 3: Cross multiply
    448,708.99x = 666,017.44 × 666,017.44
  4. Step 4: Simplify right side
    448,708.99x = 443,579,227,054.07
  5. Step 5: Solve for x
    x = 443,579,227,054.07/448,708.99
  6. Step 6: Final answer
    x = 988,567.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.