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Finding the Third Proportional to 385,875 and 827,124

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Solution

The third proportional to 385,875 and 827,124 is: 1,772,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,875 : 827,124 = 827,124 : x
  2. Step 2: Convert to fraction form
    385,875/827,124 = 827,124/x
  3. Step 3: Cross multiply
    385,875x = 827,124 × 827,124
  4. Step 4: Simplify right side
    385,875x = 684,134,111,376
  5. Step 5: Solve for x
    x = 684,134,111,376/385,875
  6. Step 6: Final answer
    x = 1,772,942.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.