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Finding the Third Proportional to 230,698.13 and 506,763

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Solution

The third proportional to 230,698.13 and 506,763 is: 1,113,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,698.13 : 506,763 = 506,763 : x
  2. Step 2: Convert to fraction form
    230,698.13/506,763 = 506,763/x
  3. Step 3: Cross multiply
    230,698.13x = 506,763 × 506,763
  4. Step 4: Simplify right side
    230,698.13x = 256,808,738,169
  5. Step 5: Solve for x
    x = 256,808,738,169/230,698.13
  6. Step 6: Final answer
    x = 1,113,180.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.