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Finding the Third Proportional to 296,561.25 and 459,588.94

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Solution

The third proportional to 296,561.25 and 459,588.94 is: 712,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,561.25 : 459,588.94 = 459,588.94 : x
  2. Step 2: Convert to fraction form
    296,561.25/459,588.94 = 459,588.94/x
  3. Step 3: Cross multiply
    296,561.25x = 459,588.94 × 459,588.94
  4. Step 4: Simplify right side
    296,561.25x = 211,221,991,472.38
  5. Step 5: Solve for x
    x = 211,221,991,472.38/296,561.25
  6. Step 6: Final answer
    x = 712,237.33

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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.