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Finding the Third Proportional to 537,968 and 753,950

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Solution

The third proportional to 537,968 and 753,950 is: 1,056,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,968 : 753,950 = 753,950 : x
  2. Step 2: Convert to fraction form
    537,968/753,950 = 753,950/x
  3. Step 3: Cross multiply
    537,968x = 753,950 × 753,950
  4. Step 4: Simplify right side
    537,968x = 568,440,602,500
  5. Step 5: Solve for x
    x = 568,440,602,500/537,968
  6. Step 6: Final answer
    x = 1,056,643.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.