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Finding the Third Proportional to 261,317 and 572,456

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Solution

The third proportional to 261,317 and 572,456 is: 1,254,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,317 : 572,456 = 572,456 : x
  2. Step 2: Convert to fraction form
    261,317/572,456 = 572,456/x
  3. Step 3: Cross multiply
    261,317x = 572,456 × 572,456
  4. Step 4: Simplify right side
    261,317x = 327,705,871,936
  5. Step 5: Solve for x
    x = 327,705,871,936/261,317
  6. Step 6: Final answer
    x = 1,254,054.93

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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.