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Finding the Third Proportional to 295,223 and 469,985

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Solution

The third proportional to 295,223 and 469,985 is: 748,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,223 : 469,985 = 469,985 : x
  2. Step 2: Convert to fraction form
    295,223/469,985 = 469,985/x
  3. Step 3: Cross multiply
    295,223x = 469,985 × 469,985
  4. Step 4: Simplify right side
    295,223x = 220,885,900,225
  5. Step 5: Solve for x
    x = 220,885,900,225/295,223
  6. Step 6: Final answer
    x = 748,200.17

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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.