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Finding the Third Proportional to 632,319 and 964,234.50

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Solution

The third proportional to 632,319 and 964,234.50 is: 1,470,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,319 : 964,234.50 = 964,234.50 : x
  2. Step 2: Convert to fraction form
    632,319/964,234.50 = 964,234.50/x
  3. Step 3: Cross multiply
    632,319x = 964,234.50 × 964,234.50
  4. Step 4: Simplify right side
    632,319x = 929,748,170,990.25
  5. Step 5: Solve for x
    x = 929,748,170,990.25/632,319
  6. Step 6: Final answer
    x = 1,470,378.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.