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Finding the Third Proportional to 817,155 and 964,777.50

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Solution

The third proportional to 817,155 and 964,777.50 is: 1,139,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,155 : 964,777.50 = 964,777.50 : x
  2. Step 2: Convert to fraction form
    817,155/964,777.50 = 964,777.50/x
  3. Step 3: Cross multiply
    817,155x = 964,777.50 × 964,777.50
  4. Step 4: Simplify right side
    817,155x = 930,795,624,506.25
  5. Step 5: Solve for x
    x = 930,795,624,506.25/817,155
  6. Step 6: Final answer
    x = 1,139,068.63

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.