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Finding the Third Proportional to 395,314 and 846,391

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Solution

The third proportional to 395,314 and 846,391 is: 1,812,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,314 : 846,391 = 846,391 : x
  2. Step 2: Convert to fraction form
    395,314/846,391 = 846,391/x
  3. Step 3: Cross multiply
    395,314x = 846,391 × 846,391
  4. Step 4: Simplify right side
    395,314x = 716,377,724,881
  5. Step 5: Solve for x
    x = 716,377,724,881/395,314
  6. Step 6: Final answer
    x = 1,812,173.93

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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.