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Finding the Third Proportional to 295,224 and 458,391

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Solution

The third proportional to 295,224 and 458,391 is: 711,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,224 : 458,391 = 458,391 : x
  2. Step 2: Convert to fraction form
    295,224/458,391 = 458,391/x
  3. Step 3: Cross multiply
    295,224x = 458,391 × 458,391
  4. Step 4: Simplify right side
    295,224x = 210,122,308,881
  5. Step 5: Solve for x
    x = 210,122,308,881/295,224
  6. Step 6: Final answer
    x = 711,738.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.