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Finding the Third Proportional to 438,830,497 and 601,743,230

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Solution

The third proportional to 438,830,497 and 601,743,230 is: 825,136,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,830,497 : 601,743,230 = 601,743,230 : x
  2. Step 2: Convert to fraction form
    438,830,497/601,743,230 = 601,743,230/x
  3. Step 3: Cross multiply
    438,830,497x = 601,743,230 × 601,743,230
  4. Step 4: Simplify right side
    438,830,497x = 362,094,914,850,832,896
  5. Step 5: Solve for x
    x = 362,094,914,850,832,896/438,830,497
  6. Step 6: Final answer
    x = 825,136,168.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.