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Finding the Third Proportional to 299,012 and 463,464

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Solution

The third proportional to 299,012 and 463,464 is: 718,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,012 : 463,464 = 463,464 : x
  2. Step 2: Convert to fraction form
    299,012/463,464 = 463,464/x
  3. Step 3: Cross multiply
    299,012x = 463,464 × 463,464
  4. Step 4: Simplify right side
    299,012x = 214,798,879,296
  5. Step 5: Solve for x
    x = 214,798,879,296/299,012
  6. Step 6: Final answer
    x = 718,362.07

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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.