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Finding the Third Proportional to 447,083 and 676,403

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Solution

The third proportional to 447,083 and 676,403 is: 1,023,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,083 : 676,403 = 676,403 : x
  2. Step 2: Convert to fraction form
    447,083/676,403 = 676,403/x
  3. Step 3: Cross multiply
    447,083x = 676,403 × 676,403
  4. Step 4: Simplify right side
    447,083x = 457,521,018,409
  5. Step 5: Solve for x
    x = 457,521,018,409/447,083
  6. Step 6: Final answer
    x = 1,023,346.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.