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Finding the Third Proportional to 600,705 and 839,821.50

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Solution

The third proportional to 600,705 and 839,821.50 is: 1,174,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,705 : 839,821.50 = 839,821.50 : x
  2. Step 2: Convert to fraction form
    600,705/839,821.50 = 839,821.50/x
  3. Step 3: Cross multiply
    600,705x = 839,821.50 × 839,821.50
  4. Step 4: Simplify right side
    600,705x = 705,300,151,862.25
  5. Step 5: Solve for x
    x = 705,300,151,862.25/600,705
  6. Step 6: Final answer
    x = 1,174,120.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.