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Finding the Third Proportional to 295,802,570 and 461,611,196

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Solution

The third proportional to 295,802,570 and 461,611,196 is: 720,361,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,802,570 : 461,611,196 = 461,611,196 : x
  2. Step 2: Convert to fraction form
    295,802,570/461,611,196 = 461,611,196/x
  3. Step 3: Cross multiply
    295,802,570x = 461,611,196 × 461,611,196
  4. Step 4: Simplify right side
    295,802,570x = 213,084,896,272,550,400
  5. Step 5: Solve for x
    x = 213,084,896,272,550,400/295,802,570
  6. Step 6: Final answer
    x = 720,361,882.83

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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.