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Finding the Third Proportional to 675,837 and 912,265.50

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Solution

The third proportional to 675,837 and 912,265.50 is: 1,231,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,837 : 912,265.50 = 912,265.50 : x
  2. Step 2: Convert to fraction form
    675,837/912,265.50 = 912,265.50/x
  3. Step 3: Cross multiply
    675,837x = 912,265.50 × 912,265.50
  4. Step 4: Simplify right side
    675,837x = 832,228,342,490.25
  5. Step 5: Solve for x
    x = 832,228,342,490.25/675,837
  6. Step 6: Final answer
    x = 1,231,403.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.