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Finding the Third Proportional to 295,296 and 458,114

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Solution

The third proportional to 295,296 and 458,114 is: 710,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296 : 458,114 = 458,114 : x
  2. Step 2: Convert to fraction form
    295,296/458,114 = 458,114/x
  3. Step 3: Cross multiply
    295,296x = 458,114 × 458,114
  4. Step 4: Simplify right side
    295,296x = 209,868,436,996
  5. Step 5: Solve for x
    x = 209,868,436,996/295,296
  6. Step 6: Final answer
    x = 710,705.32

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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.