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Finding the Third Proportional to 535,338 and 830,185

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Solution

The third proportional to 535,338 and 830,185 is: 1,287,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,338 : 830,185 = 830,185 : x
  2. Step 2: Convert to fraction form
    535,338/830,185 = 830,185/x
  3. Step 3: Cross multiply
    535,338x = 830,185 × 830,185
  4. Step 4: Simplify right side
    535,338x = 689,207,134,225
  5. Step 5: Solve for x
    x = 689,207,134,225/535,338
  6. Step 6: Final answer
    x = 1,287,424.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.