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Finding the Third Proportional to 371,827.13 and 802,689.75

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Solution

The third proportional to 371,827.13 and 802,689.75 is: 1,732,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,827.13 : 802,689.75 = 802,689.75 : x
  2. Step 2: Convert to fraction form
    371,827.13/802,689.75 = 802,689.75/x
  3. Step 3: Cross multiply
    371,827.13x = 802,689.75 × 802,689.75
  4. Step 4: Simplify right side
    371,827.13x = 644,310,834,755.06
  5. Step 5: Solve for x
    x = 644,310,834,755.06/371,827.13
  6. Step 6: Final answer
    x = 1,732,823.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.