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Finding the Third Proportional to 489,700 and 748,621.50

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Solution

The third proportional to 489,700 and 748,621.50 is: 1,144,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,700 : 748,621.50 = 748,621.50 : x
  2. Step 2: Convert to fraction form
    489,700/748,621.50 = 748,621.50/x
  3. Step 3: Cross multiply
    489,700x = 748,621.50 × 748,621.50
  4. Step 4: Simplify right side
    489,700x = 560,434,150,262.25
  5. Step 5: Solve for x
    x = 560,434,150,262.25/489,700
  6. Step 6: Final answer
    x = 1,144,443.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.