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Finding the Third Proportional to 359,478 and 550,125

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Solution

The third proportional to 359,478 and 550,125 is: 841,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,478 : 550,125 = 550,125 : x
  2. Step 2: Convert to fraction form
    359,478/550,125 = 550,125/x
  3. Step 3: Cross multiply
    359,478x = 550,125 × 550,125
  4. Step 4: Simplify right side
    359,478x = 302,637,515,625
  5. Step 5: Solve for x
    x = 302,637,515,625/359,478
  6. Step 6: Final answer
    x = 841,880.49

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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.