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Finding the Third Proportional to 299,014 and 463,468

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Solution

The third proportional to 299,014 and 463,468 is: 718,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,014 : 463,468 = 463,468 : x
  2. Step 2: Convert to fraction form
    299,014/463,468 = 463,468/x
  3. Step 3: Cross multiply
    299,014x = 463,468 × 463,468
  4. Step 4: Simplify right side
    299,014x = 214,802,587,024
  5. Step 5: Solve for x
    x = 214,802,587,024/299,014
  6. Step 6: Final answer
    x = 718,369.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.