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Finding the Third Proportional to 208,616 and 456,592

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Solution

The third proportional to 208,616 and 456,592 is: 999,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,616 : 456,592 = 456,592 : x
  2. Step 2: Convert to fraction form
    208,616/456,592 = 456,592/x
  3. Step 3: Cross multiply
    208,616x = 456,592 × 456,592
  4. Step 4: Simplify right side
    208,616x = 208,476,254,464
  5. Step 5: Solve for x
    x = 208,476,254,464/208,616
  6. Step 6: Final answer
    x = 999,330.13

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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.