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Finding the Third Proportional to 289,708 and 432,880

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Solution

The third proportional to 289,708 and 432,880 is: 646,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708 : 432,880 = 432,880 : x
  2. Step 2: Convert to fraction form
    289,708/432,880 = 432,880/x
  3. Step 3: Cross multiply
    289,708x = 432,880 × 432,880
  4. Step 4: Simplify right side
    289,708x = 187,385,094,400
  5. Step 5: Solve for x
    x = 187,385,094,400/289,708
  6. Step 6: Final answer
    x = 646,806.77

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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.