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Finding the Third Proportional to 258,783 and 563,127

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Solution

The third proportional to 258,783 and 563,127 is: 1,225,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,783 : 563,127 = 563,127 : x
  2. Step 2: Convert to fraction form
    258,783/563,127 = 563,127/x
  3. Step 3: Cross multiply
    258,783x = 563,127 × 563,127
  4. Step 4: Simplify right side
    258,783x = 317,112,018,129
  5. Step 5: Solve for x
    x = 317,112,018,129/258,783
  6. Step 6: Final answer
    x = 1,225,397.41

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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.