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Finding the Third Proportional to 485,971.50 and 684,054

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Solution

The third proportional to 485,971.50 and 684,054 is: 962,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,971.50 : 684,054 = 684,054 : x
  2. Step 2: Convert to fraction form
    485,971.50/684,054 = 684,054/x
  3. Step 3: Cross multiply
    485,971.50x = 684,054 × 684,054
  4. Step 4: Simplify right side
    485,971.50x = 467,929,874,916
  5. Step 5: Solve for x
    x = 467,929,874,916/485,971.50
  6. Step 6: Final answer
    x = 962,875.14

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.