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Finding the Third Proportional to 404,530,665.75 and 605,688,829.88

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Solution

The third proportional to 404,530,665.75 and 605,688,829.88 is: 906,875,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,530,665.75 : 605,688,829.88 = 605,688,829.88 : x
  2. Step 2: Convert to fraction form
    404,530,665.75/605,688,829.88 = 605,688,829.88/x
  3. Step 3: Cross multiply
    404,530,665.75x = 605,688,829.88 × 605,688,829.88
  4. Step 4: Simplify right side
    404,530,665.75x = 366,858,958,635,346,688
  5. Step 5: Solve for x
    x = 366,858,958,635,346,688/404,530,665.75
  6. Step 6: Final answer
    x = 906,875,521.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.