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Finding the Third Proportional to 264,064 and 570,214

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Solution

The third proportional to 264,064 and 570,214 is: 1,231,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,064 : 570,214 = 570,214 : x
  2. Step 2: Convert to fraction form
    264,064/570,214 = 570,214/x
  3. Step 3: Cross multiply
    264,064x = 570,214 × 570,214
  4. Step 4: Simplify right side
    264,064x = 325,144,005,796
  5. Step 5: Solve for x
    x = 325,144,005,796/264,064
  6. Step 6: Final answer
    x = 1,231,307.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.