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Finding the Third Proportional to 567,680 and 671,361

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Solution

The third proportional to 567,680 and 671,361 is: 793,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,680 : 671,361 = 671,361 : x
  2. Step 2: Convert to fraction form
    567,680/671,361 = 671,361/x
  3. Step 3: Cross multiply
    567,680x = 671,361 × 671,361
  4. Step 4: Simplify right side
    567,680x = 450,725,592,321
  5. Step 5: Solve for x
    x = 450,725,592,321/567,680
  6. Step 6: Final answer
    x = 793,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.