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Finding the Third Proportional to 436,816 and 658,300

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Solution

The third proportional to 436,816 and 658,300 is: 992,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,816 : 658,300 = 658,300 : x
  2. Step 2: Convert to fraction form
    436,816/658,300 = 658,300/x
  3. Step 3: Cross multiply
    436,816x = 658,300 × 658,300
  4. Step 4: Simplify right side
    436,816x = 433,358,890,000
  5. Step 5: Solve for x
    x = 433,358,890,000/436,816
  6. Step 6: Final answer
    x = 992,085.66

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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.