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Finding the Third Proportional to 478,884 and 697,265

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Solution

The third proportional to 478,884 and 697,265 is: 1,015,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,884 : 697,265 = 697,265 : x
  2. Step 2: Convert to fraction form
    478,884/697,265 = 697,265/x
  3. Step 3: Cross multiply
    478,884x = 697,265 × 697,265
  4. Step 4: Simplify right side
    478,884x = 486,178,480,225
  5. Step 5: Solve for x
    x = 486,178,480,225/478,884
  6. Step 6: Final answer
    x = 1,015,232.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.