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Finding the Third Proportional to 478,936 and 697,343

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Solution

The third proportional to 478,936 and 697,343 is: 1,015,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,936 : 697,343 = 697,343 : x
  2. Step 2: Convert to fraction form
    478,936/697,343 = 697,343/x
  3. Step 3: Cross multiply
    478,936x = 697,343 × 697,343
  4. Step 4: Simplify right side
    478,936x = 486,287,259,649
  5. Step 5: Solve for x
    x = 486,287,259,649/478,936
  6. Step 6: Final answer
    x = 1,015,349.15

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