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Finding the Third Proportional to 295,565 and 458,595

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Solution

The third proportional to 295,565 and 458,595 is: 711,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,565 : 458,595 = 458,595 : x
  2. Step 2: Convert to fraction form
    295,565/458,595 = 458,595/x
  3. Step 3: Cross multiply
    295,565x = 458,595 × 458,595
  4. Step 4: Simplify right side
    295,565x = 210,309,374,025
  5. Step 5: Solve for x
    x = 210,309,374,025/295,565
  6. Step 6: Final answer
    x = 711,550.33

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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.