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Finding the Third Proportional to 252,094 and 546,572

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Solution

The third proportional to 252,094 and 546,572 is: 1,185,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,094 : 546,572 = 546,572 : x
  2. Step 2: Convert to fraction form
    252,094/546,572 = 546,572/x
  3. Step 3: Cross multiply
    252,094x = 546,572 × 546,572
  4. Step 4: Simplify right side
    252,094x = 298,740,951,184
  5. Step 5: Solve for x
    x = 298,740,951,184/252,094
  6. Step 6: Final answer
    x = 1,185,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.