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Finding the Third Proportional to 535,286 and 788,141

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Solution

The third proportional to 535,286 and 788,141 is: 1,160,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,286 : 788,141 = 788,141 : x
  2. Step 2: Convert to fraction form
    535,286/788,141 = 788,141/x
  3. Step 3: Cross multiply
    535,286x = 788,141 × 788,141
  4. Step 4: Simplify right side
    535,286x = 621,166,235,881
  5. Step 5: Solve for x
    x = 621,166,235,881/535,286
  6. Step 6: Final answer
    x = 1,160,438.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.