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Finding the Third Proportional to 484,376 and 747,003

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Solution

The third proportional to 484,376 and 747,003 is: 1,152,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,376 : 747,003 = 747,003 : x
  2. Step 2: Convert to fraction form
    484,376/747,003 = 747,003/x
  3. Step 3: Cross multiply
    484,376x = 747,003 × 747,003
  4. Step 4: Simplify right side
    484,376x = 558,013,482,009
  5. Step 5: Solve for x
    x = 558,013,482,009/484,376
  6. Step 6: Final answer
    x = 1,152,025.46

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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.