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Finding the Third Proportional to 282,244.74 and 411,497.72

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Solution

The third proportional to 282,244.74 and 411,497.72 is: 599,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,244.74 : 411,497.72 = 411,497.72 : x
  2. Step 2: Convert to fraction form
    282,244.74/411,497.72 = 411,497.72/x
  3. Step 3: Cross multiply
    282,244.74x = 411,497.72 × 411,497.72
  4. Step 4: Simplify right side
    282,244.74x = 169,330,372,536.45
  5. Step 5: Solve for x
    x = 169,330,372,536.45/282,244.74
  6. Step 6: Final answer
    x = 599,941.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.