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Finding the Third Proportional to 261,672 and 573,384

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Solution

The third proportional to 261,672 and 573,384 is: 1,256,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,672 : 573,384 = 573,384 : x
  2. Step 2: Convert to fraction form
    261,672/573,384 = 573,384/x
  3. Step 3: Cross multiply
    261,672x = 573,384 × 573,384
  4. Step 4: Simplify right side
    261,672x = 328,769,211,456
  5. Step 5: Solve for x
    x = 328,769,211,456/261,672
  6. Step 6: Final answer
    x = 1,256,417.24

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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.