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Finding the Third Proportional to 617,871 and 929,965.50

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Solution

The third proportional to 617,871 and 929,965.50 is: 1,399,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,871 : 929,965.50 = 929,965.50 : x
  2. Step 2: Convert to fraction form
    617,871/929,965.50 = 929,965.50/x
  3. Step 3: Cross multiply
    617,871x = 929,965.50 × 929,965.50
  4. Step 4: Simplify right side
    617,871x = 864,835,831,190.25
  5. Step 5: Solve for x
    x = 864,835,831,190.25/617,871
  6. Step 6: Final answer
    x = 1,399,702.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.