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Finding the Third Proportional to 500,696 and 755,300

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Solution

The third proportional to 500,696 and 755,300 is: 1,139,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,696 : 755,300 = 755,300 : x
  2. Step 2: Convert to fraction form
    500,696/755,300 = 755,300/x
  3. Step 3: Cross multiply
    500,696x = 755,300 × 755,300
  4. Step 4: Simplify right side
    500,696x = 570,478,090,000
  5. Step 5: Solve for x
    x = 570,478,090,000/500,696
  6. Step 6: Final answer
    x = 1,139,370.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.