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Finding the Third Proportional to 382,590 and 837,904.50

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Solution

The third proportional to 382,590 and 837,904.50 is: 1,835,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,590 : 837,904.50 = 837,904.50 : x
  2. Step 2: Convert to fraction form
    382,590/837,904.50 = 837,904.50/x
  3. Step 3: Cross multiply
    382,590x = 837,904.50 × 837,904.50
  4. Step 4: Simplify right side
    382,590x = 702,083,951,120.25
  5. Step 5: Solve for x
    x = 702,083,951,120.25/382,590
  6. Step 6: Final answer
    x = 1,835,081.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.