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Finding the Third Proportional to 474,099 and 720,364.50

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Solution

The third proportional to 474,099 and 720,364.50 is: 1,094,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,099 : 720,364.50 = 720,364.50 : x
  2. Step 2: Convert to fraction form
    474,099/720,364.50 = 720,364.50/x
  3. Step 3: Cross multiply
    474,099x = 720,364.50 × 720,364.50
  4. Step 4: Simplify right side
    474,099x = 518,925,012,860.25
  5. Step 5: Solve for x
    x = 518,925,012,860.25/474,099
  6. Step 6: Final answer
    x = 1,094,549.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.