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Finding the Third Proportional to 355,335 and 469,497

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Solution

The third proportional to 355,335 and 469,497 is: 620,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,335 : 469,497 = 469,497 : x
  2. Step 2: Convert to fraction form
    355,335/469,497 = 469,497/x
  3. Step 3: Cross multiply
    355,335x = 469,497 × 469,497
  4. Step 4: Simplify right side
    355,335x = 220,427,433,009
  5. Step 5: Solve for x
    x = 220,427,433,009/355,335
  6. Step 6: Final answer
    x = 620,336.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.