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Finding the Third Proportional to 441,477 and 683,437.50

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Solution

The third proportional to 441,477 and 683,437.50 is: 1,058,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,477 : 683,437.50 = 683,437.50 : x
  2. Step 2: Convert to fraction form
    441,477/683,437.50 = 683,437.50/x
  3. Step 3: Cross multiply
    441,477x = 683,437.50 × 683,437.50
  4. Step 4: Simplify right side
    441,477x = 467,086,816,406.25
  5. Step 5: Solve for x
    x = 467,086,816,406.25/441,477
  6. Step 6: Final answer
    x = 1,058,009.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.