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Finding the Third Proportional to 264,801 and 392,056.50

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Solution

The third proportional to 264,801 and 392,056.50 is: 580,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,801 : 392,056.50 = 392,056.50 : x
  2. Step 2: Convert to fraction form
    264,801/392,056.50 = 392,056.50/x
  3. Step 3: Cross multiply
    264,801x = 392,056.50 × 392,056.50
  4. Step 4: Simplify right side
    264,801x = 153,708,299,192.25
  5. Step 5: Solve for x
    x = 153,708,299,192.25/264,801
  6. Step 6: Final answer
    x = 580,467.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.