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Finding the Third Proportional to 599,160 and 842,758.50

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Solution

The third proportional to 599,160 and 842,758.50 is: 1,185,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,160 : 842,758.50 = 842,758.50 : x
  2. Step 2: Convert to fraction form
    599,160/842,758.50 = 842,758.50/x
  3. Step 3: Cross multiply
    599,160x = 842,758.50 × 842,758.50
  4. Step 4: Simplify right side
    599,160x = 710,241,889,322.25
  5. Step 5: Solve for x
    x = 710,241,889,322.25/599,160
  6. Step 6: Final answer
    x = 1,185,396.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.