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Finding the Third Proportional to 270,466,908 and 405,755,775

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Solution

The third proportional to 270,466,908 and 405,755,775 is: 608,716,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,466,908 : 405,755,775 = 405,755,775 : x
  2. Step 2: Convert to fraction form
    270,466,908/405,755,775 = 405,755,775/x
  3. Step 3: Cross multiply
    270,466,908x = 405,755,775 × 405,755,775
  4. Step 4: Simplify right side
    270,466,908x = 164,637,748,945,850,624
  5. Step 5: Solve for x
    x = 164,637,748,945,850,624/270,466,908
  6. Step 6: Final answer
    x = 608,716,793.35

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