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Finding the Third Proportional to 482,640 and 634,680

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Solution

The third proportional to 482,640 and 634,680 is: 834,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,640 : 634,680 = 634,680 : x
  2. Step 2: Convert to fraction form
    482,640/634,680 = 634,680/x
  3. Step 3: Cross multiply
    482,640x = 634,680 × 634,680
  4. Step 4: Simplify right side
    482,640x = 402,818,702,400
  5. Step 5: Solve for x
    x = 402,818,702,400/482,640
  6. Step 6: Final answer
    x = 834,615.25

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.