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Finding the Third Proportional to 573,963 and 829,706

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Solution

The third proportional to 573,963 and 829,706 is: 1,199,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,963 : 829,706 = 829,706 : x
  2. Step 2: Convert to fraction form
    573,963/829,706 = 829,706/x
  3. Step 3: Cross multiply
    573,963x = 829,706 × 829,706
  4. Step 4: Simplify right side
    573,963x = 688,412,046,436
  5. Step 5: Solve for x
    x = 688,412,046,436/573,963
  6. Step 6: Final answer
    x = 1,199,401.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.