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Finding the Third Proportional to 263,364 and 571,688

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Solution

The third proportional to 263,364 and 571,688 is: 1,240,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,364 : 571,688 = 571,688 : x
  2. Step 2: Convert to fraction form
    263,364/571,688 = 571,688/x
  3. Step 3: Cross multiply
    263,364x = 571,688 × 571,688
  4. Step 4: Simplify right side
    263,364x = 326,827,169,344
  5. Step 5: Solve for x
    x = 326,827,169,344/263,364
  6. Step 6: Final answer
    x = 1,240,971.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.