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Finding the Third Proportional to 535,735 and 830,063

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Solution

The third proportional to 535,735 and 830,063 is: 1,286,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,735 : 830,063 = 830,063 : x
  2. Step 2: Convert to fraction form
    535,735/830,063 = 830,063/x
  3. Step 3: Cross multiply
    535,735x = 830,063 × 830,063
  4. Step 4: Simplify right side
    535,735x = 689,004,583,969
  5. Step 5: Solve for x
    x = 689,004,583,969/535,735
  6. Step 6: Final answer
    x = 1,286,092.16

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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.