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Finding the Third Proportional to 264,385 and 402,773

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Solution

The third proportional to 264,385 and 402,773 is: 613,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,385 : 402,773 = 402,773 : x
  2. Step 2: Convert to fraction form
    264,385/402,773 = 402,773/x
  3. Step 3: Cross multiply
    264,385x = 402,773 × 402,773
  4. Step 4: Simplify right side
    264,385x = 162,226,089,529
  5. Step 5: Solve for x
    x = 162,226,089,529/264,385
  6. Step 6: Final answer
    x = 613,597.93

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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.