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Finding the Third Proportional to 301,464 and 659,430

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Solution

The third proportional to 301,464 and 659,430 is: 1,442,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,464 : 659,430 = 659,430 : x
  2. Step 2: Convert to fraction form
    301,464/659,430 = 659,430/x
  3. Step 3: Cross multiply
    301,464x = 659,430 × 659,430
  4. Step 4: Simplify right side
    301,464x = 434,847,924,900
  5. Step 5: Solve for x
    x = 434,847,924,900/301,464
  6. Step 6: Final answer
    x = 1,442,453.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.