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Finding the Third Proportional to 359,667 and 537,030

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Solution

The third proportional to 359,667 and 537,030 is: 801,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,667 : 537,030 = 537,030 : x
  2. Step 2: Convert to fraction form
    359,667/537,030 = 537,030/x
  3. Step 3: Cross multiply
    359,667x = 537,030 × 537,030
  4. Step 4: Simplify right side
    359,667x = 288,401,220,900
  5. Step 5: Solve for x
    x = 288,401,220,900/359,667
  6. Step 6: Final answer
    x = 801,856.22

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