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Finding the Third Proportional to 252,802 and 546,148

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Solution

The third proportional to 252,802 and 546,148 is: 1,179,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,802 : 546,148 = 546,148 : x
  2. Step 2: Convert to fraction form
    252,802/546,148 = 546,148/x
  3. Step 3: Cross multiply
    252,802x = 546,148 × 546,148
  4. Step 4: Simplify right side
    252,802x = 298,277,637,904
  5. Step 5: Solve for x
    x = 298,277,637,904/252,802
  6. Step 6: Final answer
    x = 1,179,886.39

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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.