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Finding the Third Proportional to 476,058 and 737,599.50

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Solution

The third proportional to 476,058 and 737,599.50 is: 1,142,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,058 : 737,599.50 = 737,599.50 : x
  2. Step 2: Convert to fraction form
    476,058/737,599.50 = 737,599.50/x
  3. Step 3: Cross multiply
    476,058x = 737,599.50 × 737,599.50
  4. Step 4: Simplify right side
    476,058x = 544,053,022,400.25
  5. Step 5: Solve for x
    x = 544,053,022,400.25/476,058
  6. Step 6: Final answer
    x = 1,142,829.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.