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Finding the Third Proportional to 295,802,660 and 461,611,344

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Solution

The third proportional to 295,802,660 and 461,611,344 is: 720,362,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,802,660 : 461,611,344 = 461,611,344 : x
  2. Step 2: Convert to fraction form
    295,802,660/461,611,344 = 461,611,344/x
  3. Step 3: Cross multiply
    295,802,660x = 461,611,344 × 461,611,344
  4. Step 4: Simplify right side
    295,802,660x = 213,085,032,909,486,336
  5. Step 5: Solve for x
    x = 213,085,032,909,486,336/295,802,660
  6. Step 6: Final answer
    x = 720,362,125.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.