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Finding the Third Proportional to 314,698.50 and 474,660

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Solution

The third proportional to 314,698.50 and 474,660 is: 715,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,698.50 : 474,660 = 474,660 : x
  2. Step 2: Convert to fraction form
    314,698.50/474,660 = 474,660/x
  3. Step 3: Cross multiply
    314,698.50x = 474,660 × 474,660
  4. Step 4: Simplify right side
    314,698.50x = 225,302,115,600
  5. Step 5: Solve for x
    x = 225,302,115,600/314,698.50
  6. Step 6: Final answer
    x = 715,930.06

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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.