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Finding the Third Proportional to 299,020 and 463,472

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Solution

The third proportional to 299,020 and 463,472 is: 718,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,020 : 463,472 = 463,472 : x
  2. Step 2: Convert to fraction form
    299,020/463,472 = 463,472/x
  3. Step 3: Cross multiply
    299,020x = 463,472 × 463,472
  4. Step 4: Simplify right side
    299,020x = 214,806,294,784
  5. Step 5: Solve for x
    x = 214,806,294,784/299,020
  6. Step 6: Final answer
    x = 718,367.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.