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Finding the Third Proportional to 363,573 and 785,223

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Solution

The third proportional to 363,573 and 785,223 is: 1,695,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,573 : 785,223 = 785,223 : x
  2. Step 2: Convert to fraction form
    363,573/785,223 = 785,223/x
  3. Step 3: Cross multiply
    363,573x = 785,223 × 785,223
  4. Step 4: Simplify right side
    363,573x = 616,575,159,729
  5. Step 5: Solve for x
    x = 616,575,159,729/363,573
  6. Step 6: Final answer
    x = 1,695,877.20

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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.