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Finding the Third Proportional to 252,537 and 545,130

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Solution

The third proportional to 252,537 and 545,130 is: 1,176,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,537 : 545,130 = 545,130 : x
  2. Step 2: Convert to fraction form
    252,537/545,130 = 545,130/x
  3. Step 3: Cross multiply
    252,537x = 545,130 × 545,130
  4. Step 4: Simplify right side
    252,537x = 297,166,716,900
  5. Step 5: Solve for x
    x = 297,166,716,900/252,537
  6. Step 6: Final answer
    x = 1,176,725.46

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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.