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Finding the Third Proportional to 296,596.50 and 459,642

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Solution

The third proportional to 296,596.50 and 459,642 is: 712,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,596.50 : 459,642 = 459,642 : x
  2. Step 2: Convert to fraction form
    296,596.50/459,642 = 459,642/x
  3. Step 3: Cross multiply
    296,596.50x = 459,642 × 459,642
  4. Step 4: Simplify right side
    296,596.50x = 211,270,768,164
  5. Step 5: Solve for x
    x = 211,270,768,164/296,596.50
  6. Step 6: Final answer
    x = 712,317.13

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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.