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Finding the Third Proportional to 358,991 and 563,201

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Solution

The third proportional to 358,991 and 563,201 is: 883,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,991 : 563,201 = 563,201 : x
  2. Step 2: Convert to fraction form
    358,991/563,201 = 563,201/x
  3. Step 3: Cross multiply
    358,991x = 563,201 × 563,201
  4. Step 4: Simplify right side
    358,991x = 317,195,366,401
  5. Step 5: Solve for x
    x = 317,195,366,401/358,991
  6. Step 6: Final answer
    x = 883,574.70

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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.