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Finding the Third Proportional to 411,092,119.50 and 605,283,275.25

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Solution

The third proportional to 411,092,119.50 and 605,283,275.25 is: 891,206,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092,119.50 : 605,283,275.25 = 605,283,275.25 : x
  2. Step 2: Convert to fraction form
    411,092,119.50/605,283,275.25 = 605,283,275.25/x
  3. Step 3: Cross multiply
    411,092,119.50x = 605,283,275.25 × 605,283,275.25
  4. Step 4: Simplify right side
    411,092,119.50x = 366,367,843,297,367,232
  5. Step 5: Solve for x
    x = 366,367,843,297,367,232/411,092,119.50
  6. Step 6: Final answer
    x = 891,206,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.