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Finding the Third Proportional to 252,402 and 544,152

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Solution

The third proportional to 252,402 and 544,152 is: 1,173,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,402 : 544,152 = 544,152 : x
  2. Step 2: Convert to fraction form
    252,402/544,152 = 544,152/x
  3. Step 3: Cross multiply
    252,402x = 544,152 × 544,152
  4. Step 4: Simplify right side
    252,402x = 296,101,399,104
  5. Step 5: Solve for x
    x = 296,101,399,104/252,402
  6. Step 6: Final answer
    x = 1,173,134.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.