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Finding the Third Proportional to 258,785 and 563,133

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Solution

The third proportional to 258,785 and 563,133 is: 1,225,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,785 : 563,133 = 563,133 : x
  2. Step 2: Convert to fraction form
    258,785/563,133 = 563,133/x
  3. Step 3: Cross multiply
    258,785x = 563,133 × 563,133
  4. Step 4: Simplify right side
    258,785x = 317,118,775,689
  5. Step 5: Solve for x
    x = 317,118,775,689/258,785
  6. Step 6: Final answer
    x = 1,225,414.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.