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Finding the Third Proportional to 427,383 and 676,749

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Solution

The third proportional to 427,383 and 676,749 is: 1,071,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,383 : 676,749 = 676,749 : x
  2. Step 2: Convert to fraction form
    427,383/676,749 = 676,749/x
  3. Step 3: Cross multiply
    427,383x = 676,749 × 676,749
  4. Step 4: Simplify right side
    427,383x = 457,989,209,001
  5. Step 5: Solve for x
    x = 457,989,209,001/427,383
  6. Step 6: Final answer
    x = 1,071,613.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.