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Finding the Third Proportional to 296,667 and 459,751.50

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Solution

The third proportional to 296,667 and 459,751.50 is: 712,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,667 : 459,751.50 = 459,751.50 : x
  2. Step 2: Convert to fraction form
    296,667/459,751.50 = 459,751.50/x
  3. Step 3: Cross multiply
    296,667x = 459,751.50 × 459,751.50
  4. Step 4: Simplify right side
    296,667x = 211,371,441,752.25
  5. Step 5: Solve for x
    x = 211,371,441,752.25/296,667
  6. Step 6: Final answer
    x = 712,487.21

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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.