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Finding the Third Proportional to 264,501 and 402,287

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Solution

The third proportional to 264,501 and 402,287 is: 611,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,501 : 402,287 = 402,287 : x
  2. Step 2: Convert to fraction form
    264,501/402,287 = 402,287/x
  3. Step 3: Cross multiply
    264,501x = 402,287 × 402,287
  4. Step 4: Simplify right side
    264,501x = 161,834,830,369
  5. Step 5: Solve for x
    x = 161,834,830,369/264,501
  6. Step 6: Final answer
    x = 611,849.60

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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.