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Finding the Third Proportional to 301,916 and 465,308

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Solution

The third proportional to 301,916 and 465,308 is: 717,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,916 : 465,308 = 465,308 : x
  2. Step 2: Convert to fraction form
    301,916/465,308 = 465,308/x
  3. Step 3: Cross multiply
    301,916x = 465,308 × 465,308
  4. Step 4: Simplify right side
    301,916x = 216,511,534,864
  5. Step 5: Solve for x
    x = 216,511,534,864/301,916
  6. Step 6: Final answer
    x = 717,125.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.