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Finding the Third Proportional to 314,401.50 and 666,063

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Solution

The third proportional to 314,401.50 and 666,063 is: 1,411,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,401.50 : 666,063 = 666,063 : x
  2. Step 2: Convert to fraction form
    314,401.50/666,063 = 666,063/x
  3. Step 3: Cross multiply
    314,401.50x = 666,063 × 666,063
  4. Step 4: Simplify right side
    314,401.50x = 443,639,919,969
  5. Step 5: Solve for x
    x = 443,639,919,969/314,401.50
  6. Step 6: Final answer
    x = 1,411,061.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.