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Finding the Third Proportional to 578,104 and 908,068

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Solution

The third proportional to 578,104 and 908,068 is: 1,426,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,104 : 908,068 = 908,068 : x
  2. Step 2: Convert to fraction form
    578,104/908,068 = 908,068/x
  3. Step 3: Cross multiply
    578,104x = 908,068 × 908,068
  4. Step 4: Simplify right side
    578,104x = 824,587,492,624
  5. Step 5: Solve for x
    x = 824,587,492,624/578,104
  6. Step 6: Final answer
    x = 1,426,365.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.