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Finding the Third Proportional to 314,728.88 and 474,727.50

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Solution

The third proportional to 314,728.88 and 474,727.50 is: 716,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728.88 : 474,727.50 = 474,727.50 : x
  2. Step 2: Convert to fraction form
    314,728.88/474,727.50 = 474,727.50/x
  3. Step 3: Cross multiply
    314,728.88x = 474,727.50 × 474,727.50
  4. Step 4: Simplify right side
    314,728.88x = 225,366,199,256.25
  5. Step 5: Solve for x
    x = 225,366,199,256.25/314,728.88
  6. Step 6: Final answer
    x = 716,064.58

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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.