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Finding the Third Proportional to 484,392 and 726,750

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Solution

The third proportional to 484,392 and 726,750 is: 1,090,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,392 : 726,750 = 726,750 : x
  2. Step 2: Convert to fraction form
    484,392/726,750 = 726,750/x
  3. Step 3: Cross multiply
    484,392x = 726,750 × 726,750
  4. Step 4: Simplify right side
    484,392x = 528,165,562,500
  5. Step 5: Solve for x
    x = 528,165,562,500/484,392
  6. Step 6: Final answer
    x = 1,090,368.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.