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Finding the Third Proportional to 535,897.50 and 833,373

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Solution

The third proportional to 535,897.50 and 833,373 is: 1,295,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,897.50 : 833,373 = 833,373 : x
  2. Step 2: Convert to fraction form
    535,897.50/833,373 = 833,373/x
  3. Step 3: Cross multiply
    535,897.50x = 833,373 × 833,373
  4. Step 4: Simplify right side
    535,897.50x = 694,510,557,129
  5. Step 5: Solve for x
    x = 694,510,557,129/535,897.50
  6. Step 6: Final answer
    x = 1,295,976.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.