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Finding the Third Proportional to 358,992 and 563,200

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Solution

The third proportional to 358,992 and 563,200 is: 883,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,992 : 563,200 = 563,200 : x
  2. Step 2: Convert to fraction form
    358,992/563,200 = 563,200/x
  3. Step 3: Cross multiply
    358,992x = 563,200 × 563,200
  4. Step 4: Simplify right side
    358,992x = 317,194,240,000
  5. Step 5: Solve for x
    x = 317,194,240,000/358,992
  6. Step 6: Final answer
    x = 883,569.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.