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Finding the Third Proportional to 254,700 and 537,276

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Solution

The third proportional to 254,700 and 537,276 is: 1,133,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,700 : 537,276 = 537,276 : x
  2. Step 2: Convert to fraction form
    254,700/537,276 = 537,276/x
  3. Step 3: Cross multiply
    254,700x = 537,276 × 537,276
  4. Step 4: Simplify right side
    254,700x = 288,665,500,176
  5. Step 5: Solve for x
    x = 288,665,500,176/254,700
  6. Step 6: Final answer
    x = 1,133,354.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.