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Finding the Third Proportional to 369,600 and 572,064

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Solution

The third proportional to 369,600 and 572,064 is: 885,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,600 : 572,064 = 572,064 : x
  2. Step 2: Convert to fraction form
    369,600/572,064 = 572,064/x
  3. Step 3: Cross multiply
    369,600x = 572,064 × 572,064
  4. Step 4: Simplify right side
    369,600x = 327,257,220,096
  5. Step 5: Solve for x
    x = 327,257,220,096/369,600
  6. Step 6: Final answer
    x = 885,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.