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Finding the Third Proportional to 296,565.75 and 459,596.25

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Solution

The third proportional to 296,565.75 and 459,596.25 is: 712,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.75 : 459,596.25 = 459,596.25 : x
  2. Step 2: Convert to fraction form
    296,565.75/459,596.25 = 459,596.25/x
  3. Step 3: Cross multiply
    296,565.75x = 459,596.25 × 459,596.25
  4. Step 4: Simplify right side
    296,565.75x = 211,228,713,014.06
  5. Step 5: Solve for x
    x = 211,228,713,014.06/296,565.75
  6. Step 6: Final answer
    x = 712,249.18

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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.