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Finding the Third Proportional to 301,635,360 and 461,218,464

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Solution

The third proportional to 301,635,360 and 461,218,464 is: 705,230,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,635,360 : 461,218,464 = 461,218,464 : x
  2. Step 2: Convert to fraction form
    301,635,360/461,218,464 = 461,218,464/x
  3. Step 3: Cross multiply
    301,635,360x = 461,218,464 × 461,218,464
  4. Step 4: Simplify right side
    301,635,360x = 212,722,471,534,519,296
  5. Step 5: Solve for x
    x = 212,722,471,534,519,296/301,635,360
  6. Step 6: Final answer
    x = 705,230,552.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.