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Finding the Third Proportional to 563,608 and 824,672

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Solution

The third proportional to 563,608 and 824,672 is: 1,206,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,608 : 824,672 = 824,672 : x
  2. Step 2: Convert to fraction form
    563,608/824,672 = 824,672/x
  3. Step 3: Cross multiply
    563,608x = 824,672 × 824,672
  4. Step 4: Simplify right side
    563,608x = 680,083,907,584
  5. Step 5: Solve for x
    x = 680,083,907,584/563,608
  6. Step 6: Final answer
    x = 1,206,661.20

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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.