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Finding the Third Proportional to 264,784 and 576,160

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Solution

The third proportional to 264,784 and 576,160 is: 1,253,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784 : 576,160 = 576,160 : x
  2. Step 2: Convert to fraction form
    264,784/576,160 = 576,160/x
  3. Step 3: Cross multiply
    264,784x = 576,160 × 576,160
  4. Step 4: Simplify right side
    264,784x = 331,960,345,600
  5. Step 5: Solve for x
    x = 331,960,345,600/264,784
  6. Step 6: Final answer
    x = 1,253,702.44

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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.