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Finding the Third Proportional to 474,099 and 720,365

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Solution

The third proportional to 474,099 and 720,365 is: 1,094,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,099 : 720,365 = 720,365 : x
  2. Step 2: Convert to fraction form
    474,099/720,365 = 720,365/x
  3. Step 3: Cross multiply
    474,099x = 720,365 × 720,365
  4. Step 4: Simplify right side
    474,099x = 518,925,733,225
  5. Step 5: Solve for x
    x = 518,925,733,225/474,099
  6. Step 6: Final answer
    x = 1,094,551.42

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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.