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Finding the Third Proportional to 295,222 and 469,983

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Solution

The third proportional to 295,222 and 469,983 is: 748,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,222 : 469,983 = 469,983 : x
  2. Step 2: Convert to fraction form
    295,222/469,983 = 469,983/x
  3. Step 3: Cross multiply
    295,222x = 469,983 × 469,983
  4. Step 4: Simplify right side
    295,222x = 220,884,020,289
  5. Step 5: Solve for x
    x = 220,884,020,289/295,222
  6. Step 6: Final answer
    x = 748,196.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.