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Finding the Third Proportional to 252,451 and 546,953

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Solution

The third proportional to 252,451 and 546,953 is: 1,185,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,451 : 546,953 = 546,953 : x
  2. Step 2: Convert to fraction form
    252,451/546,953 = 546,953/x
  3. Step 3: Cross multiply
    252,451x = 546,953 × 546,953
  4. Step 4: Simplify right side
    252,451x = 299,157,584,209
  5. Step 5: Solve for x
    x = 299,157,584,209/252,451
  6. Step 6: Final answer
    x = 1,185,012.47

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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.