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Finding the Third Proportional to 366,209 and 565,905

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Solution

The third proportional to 366,209 and 565,905 is: 874,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,209 : 565,905 = 565,905 : x
  2. Step 2: Convert to fraction form
    366,209/565,905 = 565,905/x
  3. Step 3: Cross multiply
    366,209x = 565,905 × 565,905
  4. Step 4: Simplify right side
    366,209x = 320,248,469,025
  5. Step 5: Solve for x
    x = 320,248,469,025/366,209
  6. Step 6: Final answer
    x = 874,496.45

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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.