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Finding the Third Proportional to 208,770 and 457,440

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Solution

The third proportional to 208,770 and 457,440 is: 1,002,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770 : 457,440 = 457,440 : x
  2. Step 2: Convert to fraction form
    208,770/457,440 = 457,440/x
  3. Step 3: Cross multiply
    208,770x = 457,440 × 457,440
  4. Step 4: Simplify right side
    208,770x = 209,251,353,600
  5. Step 5: Solve for x
    x = 209,251,353,600/208,770
  6. Step 6: Final answer
    x = 1,002,305.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.