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Finding the Third Proportional to 563,600 and 824,656

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Solution

The third proportional to 563,600 and 824,656 is: 1,206,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,600 : 824,656 = 824,656 : x
  2. Step 2: Convert to fraction form
    563,600/824,656 = 824,656/x
  3. Step 3: Cross multiply
    563,600x = 824,656 × 824,656
  4. Step 4: Simplify right side
    563,600x = 680,057,518,336
  5. Step 5: Solve for x
    x = 680,057,518,336/563,600
  6. Step 6: Final answer
    x = 1,206,631.51

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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.