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Finding the Third Proportional to 563,616 and 824,684

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Solution

The third proportional to 563,616 and 824,684 is: 1,206,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,616 : 824,684 = 824,684 : x
  2. Step 2: Convert to fraction form
    563,616/824,684 = 824,684/x
  3. Step 3: Cross multiply
    563,616x = 824,684 × 824,684
  4. Step 4: Simplify right side
    563,616x = 680,103,699,856
  5. Step 5: Solve for x
    x = 680,103,699,856/563,616
  6. Step 6: Final answer
    x = 1,206,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.