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Finding the Third Proportional to 508,419 and 697,153.50

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Solution

The third proportional to 508,419 and 697,153.50 is: 955,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,419 : 697,153.50 = 697,153.50 : x
  2. Step 2: Convert to fraction form
    508,419/697,153.50 = 697,153.50/x
  3. Step 3: Cross multiply
    508,419x = 697,153.50 × 697,153.50
  4. Step 4: Simplify right side
    508,419x = 486,023,002,562.25
  5. Step 5: Solve for x
    x = 486,023,002,562.25/508,419
  6. Step 6: Final answer
    x = 955,949.72

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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.