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Finding the Third Proportional to 358,980 and 563,184

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Solution

The third proportional to 358,980 and 563,184 is: 883,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,980 : 563,184 = 563,184 : x
  2. Step 2: Convert to fraction form
    358,980/563,184 = 563,184/x
  3. Step 3: Cross multiply
    358,980x = 563,184 × 563,184
  4. Step 4: Simplify right side
    358,980x = 317,176,217,856
  5. Step 5: Solve for x
    x = 317,176,217,856/358,980
  6. Step 6: Final answer
    x = 883,548.44

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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.