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Finding the Third Proportional to 264,284 and 376,743

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Solution

The third proportional to 264,284 and 376,743 is: 537,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,284 : 376,743 = 376,743 : x
  2. Step 2: Convert to fraction form
    264,284/376,743 = 376,743/x
  3. Step 3: Cross multiply
    264,284x = 376,743 × 376,743
  4. Step 4: Simplify right side
    264,284x = 141,935,288,049
  5. Step 5: Solve for x
    x = 141,935,288,049/264,284
  6. Step 6: Final answer
    x = 537,055.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.