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Finding the Third Proportional to 358,945 and 563,157

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Solution

The third proportional to 358,945 and 563,157 is: 883,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,945 : 563,157 = 563,157 : x
  2. Step 2: Convert to fraction form
    358,945/563,157 = 563,157/x
  3. Step 3: Cross multiply
    358,945x = 563,157 × 563,157
  4. Step 4: Simplify right side
    358,945x = 317,145,806,649
  5. Step 5: Solve for x
    x = 317,145,806,649/358,945
  6. Step 6: Final answer
    x = 883,549.87

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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.