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Finding the Third Proportional to 359,639 and 536,996

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Solution

The third proportional to 359,639 and 536,996 is: 801,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,639 : 536,996 = 536,996 : x
  2. Step 2: Convert to fraction form
    359,639/536,996 = 536,996/x
  3. Step 3: Cross multiply
    359,639x = 536,996 × 536,996
  4. Step 4: Simplify right side
    359,639x = 288,364,704,016
  5. Step 5: Solve for x
    x = 288,364,704,016/359,639
  6. Step 6: Final answer
    x = 801,817.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.