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Finding the Third Proportional to 283,518,759 and 444,756,871.75

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Solution

The third proportional to 283,518,759 and 444,756,871.75 is: 697,691,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,518,759 : 444,756,871.75 = 444,756,871.75 : x
  2. Step 2: Convert to fraction form
    283,518,759/444,756,871.75 = 444,756,871.75/x
  3. Step 3: Cross multiply
    283,518,759x = 444,756,871.75 × 444,756,871.75
  4. Step 4: Simplify right side
    283,518,759x = 197,808,674,968,845,952
  5. Step 5: Solve for x
    x = 197,808,674,968,845,952/283,518,759
  6. Step 6: Final answer
    x = 697,691,664.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.