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Finding the Third Proportional to 682,911 and 983,686.50

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Solution

The third proportional to 682,911 and 983,686.50 is: 1,416,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,911 : 983,686.50 = 983,686.50 : x
  2. Step 2: Convert to fraction form
    682,911/983,686.50 = 983,686.50/x
  3. Step 3: Cross multiply
    682,911x = 983,686.50 × 983,686.50
  4. Step 4: Simplify right side
    682,911x = 967,639,130,282.25
  5. Step 5: Solve for x
    x = 967,639,130,282.25/682,911
  6. Step 6: Final answer
    x = 1,416,933.00

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.