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Finding the Third Proportional to 374,746.50 and 817,978.50

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Solution

The third proportional to 374,746.50 and 817,978.50 is: 1,785,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,746.50 : 817,978.50 = 817,978.50 : x
  2. Step 2: Convert to fraction form
    374,746.50/817,978.50 = 817,978.50/x
  3. Step 3: Cross multiply
    374,746.50x = 817,978.50 × 817,978.50
  4. Step 4: Simplify right side
    374,746.50x = 669,088,826,462.25
  5. Step 5: Solve for x
    x = 669,088,826,462.25/374,746.50
  6. Step 6: Final answer
    x = 1,785,443.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.