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Finding the Third Proportional to 404,936,698.50 and 604,751,532.75

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Solution

The third proportional to 404,936,698.50 and 604,751,532.75 is: 903,164,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,936,698.50 : 604,751,532.75 = 604,751,532.75 : x
  2. Step 2: Convert to fraction form
    404,936,698.50/604,751,532.75 = 604,751,532.75/x
  3. Step 3: Cross multiply
    404,936,698.50x = 604,751,532.75 × 604,751,532.75
  4. Step 4: Simplify right side
    404,936,698.50x = 365,724,416,363,474,304
  5. Step 5: Solve for x
    x = 365,724,416,363,474,304/404,936,698.50
  6. Step 6: Final answer
    x = 903,164,414.88

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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.