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Finding the Third Proportional to 296,593.88 and 459,636.75

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Solution

The third proportional to 296,593.88 and 459,636.75 is: 712,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,593.88 : 459,636.75 = 459,636.75 : x
  2. Step 2: Convert to fraction form
    296,593.88/459,636.75 = 459,636.75/x
  3. Step 3: Cross multiply
    296,593.88x = 459,636.75 × 459,636.75
  4. Step 4: Simplify right side
    296,593.88x = 211,265,941,950.56
  5. Step 5: Solve for x
    x = 211,265,941,950.56/296,593.88
  6. Step 6: Final answer
    x = 712,307.16

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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.