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Finding the Third Proportional to 262,323 and 564,783.75

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Solution

The third proportional to 262,323 and 564,783.75 is: 1,215,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,323 : 564,783.75 = 564,783.75 : x
  2. Step 2: Convert to fraction form
    262,323/564,783.75 = 564,783.75/x
  3. Step 3: Cross multiply
    262,323x = 564,783.75 × 564,783.75
  4. Step 4: Simplify right side
    262,323x = 318,980,684,264.06
  5. Step 5: Solve for x
    x = 318,980,684,264.06/262,323
  6. Step 6: Final answer
    x = 1,215,984.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.