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Finding the Third Proportional to 208,352 and 455,904

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Solution

The third proportional to 208,352 and 455,904 is: 997,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352 : 455,904 = 455,904 : x
  2. Step 2: Convert to fraction form
    208,352/455,904 = 455,904/x
  3. Step 3: Cross multiply
    208,352x = 455,904 × 455,904
  4. Step 4: Simplify right side
    208,352x = 207,848,457,216
  5. Step 5: Solve for x
    x = 207,848,457,216/208,352
  6. Step 6: Final answer
    x = 997,583.21

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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.