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Finding the Third Proportional to 444,804 and 688,482

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Solution

The third proportional to 444,804 and 688,482 is: 1,065,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,804 : 688,482 = 688,482 : x
  2. Step 2: Convert to fraction form
    444,804/688,482 = 688,482/x
  3. Step 3: Cross multiply
    444,804x = 688,482 × 688,482
  4. Step 4: Simplify right side
    444,804x = 474,007,464,324
  5. Step 5: Solve for x
    x = 474,007,464,324/444,804
  6. Step 6: Final answer
    x = 1,065,654.68

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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.