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Finding the Third Proportional to 261,326 and 572,472

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Solution

The third proportional to 261,326 and 572,472 is: 1,254,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,326 : 572,472 = 572,472 : x
  2. Step 2: Convert to fraction form
    261,326/572,472 = 572,472/x
  3. Step 3: Cross multiply
    261,326x = 572,472 × 572,472
  4. Step 4: Simplify right side
    261,326x = 327,724,190,784
  5. Step 5: Solve for x
    x = 327,724,190,784/261,326
  6. Step 6: Final answer
    x = 1,254,081.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.