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Finding the Third Proportional to 385,263 and 832,223

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Solution

The third proportional to 385,263 and 832,223 is: 1,797,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,263 : 832,223 = 832,223 : x
  2. Step 2: Convert to fraction form
    385,263/832,223 = 832,223/x
  3. Step 3: Cross multiply
    385,263x = 832,223 × 832,223
  4. Step 4: Simplify right side
    385,263x = 692,595,121,729
  5. Step 5: Solve for x
    x = 692,595,121,729/385,263
  6. Step 6: Final answer
    x = 1,797,720.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.