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Finding the Third Proportional to 658,320 and 983,173.50

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Solution

The third proportional to 658,320 and 983,173.50 is: 1,468,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,320 : 983,173.50 = 983,173.50 : x
  2. Step 2: Convert to fraction form
    658,320/983,173.50 = 983,173.50/x
  3. Step 3: Cross multiply
    658,320x = 983,173.50 × 983,173.50
  4. Step 4: Simplify right side
    658,320x = 966,630,131,102.25
  5. Step 5: Solve for x
    x = 966,630,131,102.25/658,320
  6. Step 6: Final answer
    x = 1,468,328.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.