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Finding the Third Proportional to 263,402 and 569,356

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Solution

The third proportional to 263,402 and 569,356 is: 1,230,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,402 : 569,356 = 569,356 : x
  2. Step 2: Convert to fraction form
    263,402/569,356 = 569,356/x
  3. Step 3: Cross multiply
    263,402x = 569,356 × 569,356
  4. Step 4: Simplify right side
    263,402x = 324,166,254,736
  5. Step 5: Solve for x
    x = 324,166,254,736/263,402
  6. Step 6: Final answer
    x = 1,230,690.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.