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Finding the Third Proportional to 263,724 and 565,585

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Solution

The third proportional to 263,724 and 565,585 is: 1,212,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,724 : 565,585 = 565,585 : x
  2. Step 2: Convert to fraction form
    263,724/565,585 = 565,585/x
  3. Step 3: Cross multiply
    263,724x = 565,585 × 565,585
  4. Step 4: Simplify right side
    263,724x = 319,886,392,225
  5. Step 5: Solve for x
    x = 319,886,392,225/263,724
  6. Step 6: Final answer
    x = 1,212,958.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.