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Finding the Third Proportional to 359,496 and 550,152

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Solution

The third proportional to 359,496 and 550,152 is: 841,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,496 : 550,152 = 550,152 : x
  2. Step 2: Convert to fraction form
    359,496/550,152 = 550,152/x
  3. Step 3: Cross multiply
    359,496x = 550,152 × 550,152
  4. Step 4: Simplify right side
    359,496x = 302,667,223,104
  5. Step 5: Solve for x
    x = 302,667,223,104/359,496
  6. Step 6: Final answer
    x = 841,920.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.