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Finding the Third Proportional to 262,731 and 546,429

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Solution

The third proportional to 262,731 and 546,429 is: 1,136,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,731 : 546,429 = 546,429 : x
  2. Step 2: Convert to fraction form
    262,731/546,429 = 546,429/x
  3. Step 3: Cross multiply
    262,731x = 546,429 × 546,429
  4. Step 4: Simplify right side
    262,731x = 298,584,652,041
  5. Step 5: Solve for x
    x = 298,584,652,041/262,731
  6. Step 6: Final answer
    x = 1,136,465.25

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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.