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Finding the Third Proportional to 474,133.50 and 727,049.25

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Solution

The third proportional to 474,133.50 and 727,049.25 is: 1,114,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,133.50 : 727,049.25 = 727,049.25 : x
  2. Step 2: Convert to fraction form
    474,133.50/727,049.25 = 727,049.25/x
  3. Step 3: Cross multiply
    474,133.50x = 727,049.25 × 727,049.25
  4. Step 4: Simplify right side
    474,133.50x = 528,600,611,925.56
  5. Step 5: Solve for x
    x = 528,600,611,925.56/474,133.50
  6. Step 6: Final answer
    x = 1,114,877.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.