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Finding the Third Proportional to 363,152 and 531,543

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Solution

The third proportional to 363,152 and 531,543 is: 778,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,152 : 531,543 = 531,543 : x
  2. Step 2: Convert to fraction form
    363,152/531,543 = 531,543/x
  3. Step 3: Cross multiply
    363,152x = 531,543 × 531,543
  4. Step 4: Simplify right side
    363,152x = 282,537,960,849
  5. Step 5: Solve for x
    x = 282,537,960,849/363,152
  6. Step 6: Final answer
    x = 778,015.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.