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Finding the Third Proportional to 563,068 and 829,668

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Solution

The third proportional to 563,068 and 829,668 is: 1,222,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,068 : 829,668 = 829,668 : x
  2. Step 2: Convert to fraction form
    563,068/829,668 = 829,668/x
  3. Step 3: Cross multiply
    563,068x = 829,668 × 829,668
  4. Step 4: Simplify right side
    563,068x = 688,348,990,224
  5. Step 5: Solve for x
    x = 688,348,990,224/563,068
  6. Step 6: Final answer
    x = 1,222,497.09

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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.