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Finding the Third Proportional to 258,764 and 563,088

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Solution

The third proportional to 258,764 and 563,088 is: 1,225,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,764 : 563,088 = 563,088 : x
  2. Step 2: Convert to fraction form
    258,764/563,088 = 563,088/x
  3. Step 3: Cross multiply
    258,764x = 563,088 × 563,088
  4. Step 4: Simplify right side
    258,764x = 317,068,095,744
  5. Step 5: Solve for x
    x = 317,068,095,744/258,764
  6. Step 6: Final answer
    x = 1,225,317.65

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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.