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Finding the Third Proportional to 261,064 and 570,060

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Solution

The third proportional to 261,064 and 570,060 is: 1,244,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,064 : 570,060 = 570,060 : x
  2. Step 2: Convert to fraction form
    261,064/570,060 = 570,060/x
  3. Step 3: Cross multiply
    261,064x = 570,060 × 570,060
  4. Step 4: Simplify right side
    261,064x = 324,968,403,600
  5. Step 5: Solve for x
    x = 324,968,403,600/261,064
  6. Step 6: Final answer
    x = 1,244,784.43

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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.