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Finding the Third Proportional to 264,520 and 402,316

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Solution

The third proportional to 264,520 and 402,316 is: 611,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,520 : 402,316 = 402,316 : x
  2. Step 2: Convert to fraction form
    264,520/402,316 = 402,316/x
  3. Step 3: Cross multiply
    264,520x = 402,316 × 402,316
  4. Step 4: Simplify right side
    264,520x = 161,858,163,856
  5. Step 5: Solve for x
    x = 161,858,163,856/264,520
  6. Step 6: Final answer
    x = 611,893.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.