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Finding the Third Proportional to 357,808 and 731,152

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Solution

The third proportional to 357,808 and 731,152 is: 1,494,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,808 : 731,152 = 731,152 : x
  2. Step 2: Convert to fraction form
    357,808/731,152 = 731,152/x
  3. Step 3: Cross multiply
    357,808x = 731,152 × 731,152
  4. Step 4: Simplify right side
    357,808x = 534,583,247,104
  5. Step 5: Solve for x
    x = 534,583,247,104/357,808
  6. Step 6: Final answer
    x = 1,494,050.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.