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Finding the Third Proportional to 362,824 and 563,184

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Solution

The third proportional to 362,824 and 563,184 is: 874,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,824 : 563,184 = 563,184 : x
  2. Step 2: Convert to fraction form
    362,824/563,184 = 563,184/x
  3. Step 3: Cross multiply
    362,824x = 563,184 × 563,184
  4. Step 4: Simplify right side
    362,824x = 317,176,217,856
  5. Step 5: Solve for x
    x = 317,176,217,856/362,824
  6. Step 6: Final answer
    x = 874,187.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.