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Finding the Third Proportional to 264,174 and 570,444

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Solution

The third proportional to 264,174 and 570,444 is: 1,231,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,174 : 570,444 = 570,444 : x
  2. Step 2: Convert to fraction form
    264,174/570,444 = 570,444/x
  3. Step 3: Cross multiply
    264,174x = 570,444 × 570,444
  4. Step 4: Simplify right side
    264,174x = 325,406,357,136
  5. Step 5: Solve for x
    x = 325,406,357,136/264,174
  6. Step 6: Final answer
    x = 1,231,787.98

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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.