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Finding the Third Proportional to 295,564.75 and 458,594.75

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Solution

The third proportional to 295,564.75 and 458,594.75 is: 711,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,564.75 : 458,594.75 = 458,594.75 : x
  2. Step 2: Convert to fraction form
    295,564.75/458,594.75 = 458,594.75/x
  3. Step 3: Cross multiply
    295,564.75x = 458,594.75 × 458,594.75
  4. Step 4: Simplify right side
    295,564.75x = 210,309,144,727.56
  5. Step 5: Solve for x
    x = 210,309,144,727.56/295,564.75
  6. Step 6: Final answer
    x = 711,550.16

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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.