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Finding the Third Proportional to 466,410 and 720,228

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Solution

The third proportional to 466,410 and 720,228 is: 1,112,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,410 : 720,228 = 720,228 : x
  2. Step 2: Convert to fraction form
    466,410/720,228 = 720,228/x
  3. Step 3: Cross multiply
    466,410x = 720,228 × 720,228
  4. Step 4: Simplify right side
    466,410x = 518,728,371,984
  5. Step 5: Solve for x
    x = 518,728,371,984/466,410
  6. Step 6: Final answer
    x = 1,112,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.