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Finding the Third Proportional to 248,964 and 546,304

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Solution

The third proportional to 248,964 and 546,304 is: 1,198,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,964 : 546,304 = 546,304 : x
  2. Step 2: Convert to fraction form
    248,964/546,304 = 546,304/x
  3. Step 3: Cross multiply
    248,964x = 546,304 × 546,304
  4. Step 4: Simplify right side
    248,964x = 298,448,060,416
  5. Step 5: Solve for x
    x = 298,448,060,416/248,964
  6. Step 6: Final answer
    x = 1,198,759.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.