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Finding the Third Proportional to 388,305 and 830,596.50

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Solution

The third proportional to 388,305 and 830,596.50 is: 1,776,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,305 : 830,596.50 = 830,596.50 : x
  2. Step 2: Convert to fraction form
    388,305/830,596.50 = 830,596.50/x
  3. Step 3: Cross multiply
    388,305x = 830,596.50 × 830,596.50
  4. Step 4: Simplify right side
    388,305x = 689,890,545,812.25
  5. Step 5: Solve for x
    x = 689,890,545,812.25/388,305
  6. Step 6: Final answer
    x = 1,776,671.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.