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Finding the Third Proportional to 563,017 and 829,630

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Solution

The third proportional to 563,017 and 829,630 is: 1,222,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,017 : 829,630 = 829,630 : x
  2. Step 2: Convert to fraction form
    563,017/829,630 = 829,630/x
  3. Step 3: Cross multiply
    563,017x = 829,630 × 829,630
  4. Step 4: Simplify right side
    563,017x = 688,285,936,900
  5. Step 5: Solve for x
    x = 688,285,936,900/563,017
  6. Step 6: Final answer
    x = 1,222,495.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.