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Finding the Third Proportional to 286,666 and 444,781

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Solution

The third proportional to 286,666 and 444,781 is: 690,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,666 : 444,781 = 444,781 : x
  2. Step 2: Convert to fraction form
    286,666/444,781 = 444,781/x
  3. Step 3: Cross multiply
    286,666x = 444,781 × 444,781
  4. Step 4: Simplify right side
    286,666x = 197,830,137,961
  5. Step 5: Solve for x
    x = 197,830,137,961/286,666
  6. Step 6: Final answer
    x = 690,106.74

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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.