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Finding the Third Proportional to 250,574 and 546,372

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Solution

The third proportional to 250,574 and 546,372 is: 1,191,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,574 : 546,372 = 546,372 : x
  2. Step 2: Convert to fraction form
    250,574/546,372 = 546,372/x
  3. Step 3: Cross multiply
    250,574x = 546,372 × 546,372
  4. Step 4: Simplify right side
    250,574x = 298,522,362,384
  5. Step 5: Solve for x
    x = 298,522,362,384/250,574
  6. Step 6: Final answer
    x = 1,191,354.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.