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Finding the Third Proportional to 478,929 and 697,333.50

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Solution

The third proportional to 478,929 and 697,333.50 is: 1,015,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,929 : 697,333.50 = 697,333.50 : x
  2. Step 2: Convert to fraction form
    478,929/697,333.50 = 697,333.50/x
  3. Step 3: Cross multiply
    478,929x = 697,333.50 × 697,333.50
  4. Step 4: Simplify right side
    478,929x = 486,274,010,222.25
  5. Step 5: Solve for x
    x = 486,274,010,222.25/478,929
  6. Step 6: Final answer
    x = 1,015,336.32

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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.