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Finding the Third Proportional to 404,936,693.12 and 604,751,525.24

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Solution

The third proportional to 404,936,693.12 and 604,751,525.24 is: 903,164,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,936,693.12 : 604,751,525.24 = 604,751,525.24 : x
  2. Step 2: Convert to fraction form
    404,936,693.12/604,751,525.24 = 604,751,525.24/x
  3. Step 3: Cross multiply
    404,936,693.12x = 604,751,525.24 × 604,751,525.24
  4. Step 4: Simplify right side
    404,936,693.12x = 365,724,407,285,149,952
  5. Step 5: Solve for x
    x = 365,724,407,285,149,952/404,936,693.12
  6. Step 6: Final answer
    x = 903,164,404.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.