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Finding the Third Proportional to 735,320 and 1,012,574

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Solution

The third proportional to 735,320 and 1,012,574 is: 1,394,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,320 : 1,012,574 = 1,012,574 : x
  2. Step 2: Convert to fraction form
    735,320/1,012,574 = 1,012,574/x
  3. Step 3: Cross multiply
    735,320x = 1,012,574 × 1,012,574
  4. Step 4: Simplify right side
    735,320x = 1,025,306,105,476
  5. Step 5: Solve for x
    x = 1,025,306,105,476/735,320
  6. Step 6: Final answer
    x = 1,394,367.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.