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Finding the Third Proportional to 438,830,499 and 601,743,233

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Solution

The third proportional to 438,830,499 and 601,743,233 is: 825,136,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,830,499 : 601,743,233 = 601,743,233 : x
  2. Step 2: Convert to fraction form
    438,830,499/601,743,233 = 601,743,233/x
  3. Step 3: Cross multiply
    438,830,499x = 601,743,233 × 601,743,233
  4. Step 4: Simplify right side
    438,830,499x = 362,094,918,461,292,288
  5. Step 5: Solve for x
    x = 362,094,918,461,292,288/438,830,499
  6. Step 6: Final answer
    x = 825,136,172.82

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Why These Related Problems?

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