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Finding the Third Proportional to 262,257 and 546,654

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Solution

The third proportional to 262,257 and 546,654 is: 1,139,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,257 : 546,654 = 546,654 : x
  2. Step 2: Convert to fraction form
    262,257/546,654 = 546,654/x
  3. Step 3: Cross multiply
    262,257x = 546,654 × 546,654
  4. Step 4: Simplify right side
    262,257x = 298,830,595,716
  5. Step 5: Solve for x
    x = 298,830,595,716/262,257
  6. Step 6: Final answer
    x = 1,139,457.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.