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Finding the Third Proportional to 448,359 and 666,186

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Solution

The third proportional to 448,359 and 666,186 is: 989,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,359 : 666,186 = 666,186 : x
  2. Step 2: Convert to fraction form
    448,359/666,186 = 666,186/x
  3. Step 3: Cross multiply
    448,359x = 666,186 × 666,186
  4. Step 4: Simplify right side
    448,359x = 443,803,786,596
  5. Step 5: Solve for x
    x = 443,803,786,596/448,359
  6. Step 6: Final answer
    x = 989,840.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.