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Finding the Third Proportional to 497,680 and 670,536

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Solution

The third proportional to 497,680 and 670,536 is: 903,428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,680 : 670,536 = 670,536 : x
  2. Step 2: Convert to fraction form
    497,680/670,536 = 670,536/x
  3. Step 3: Cross multiply
    497,680x = 670,536 × 670,536
  4. Step 4: Simplify right side
    497,680x = 449,618,527,296
  5. Step 5: Solve for x
    x = 449,618,527,296/497,680
  6. Step 6: Final answer
    x = 903,428.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.