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Finding the Third Proportional to 264,501 and 402,288

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Solution

The third proportional to 264,501 and 402,288 is: 611,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,501 : 402,288 = 402,288 : x
  2. Step 2: Convert to fraction form
    264,501/402,288 = 402,288/x
  3. Step 3: Cross multiply
    264,501x = 402,288 × 402,288
  4. Step 4: Simplify right side
    264,501x = 161,835,634,944
  5. Step 5: Solve for x
    x = 161,835,634,944/264,501
  6. Step 6: Final answer
    x = 611,852.64

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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.