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Finding the Third Proportional to 295,563.94 and 458,594.16

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Solution

The third proportional to 295,563.94 and 458,594.16 is: 711,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,563.94 : 458,594.16 = 458,594.16 : x
  2. Step 2: Convert to fraction form
    295,563.94/458,594.16 = 458,594.16/x
  3. Step 3: Cross multiply
    295,563.94x = 458,594.16 × 458,594.16
  4. Step 4: Simplify right side
    295,563.94x = 210,308,600,146.65
  5. Step 5: Solve for x
    x = 210,308,600,146.65/295,563.94
  6. Step 6: Final answer
    x = 711,550.27

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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.