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Finding the Third Proportional to 262,608 and 382,430

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Solution

The third proportional to 262,608 and 382,430 is: 556,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,608 : 382,430 = 382,430 : x
  2. Step 2: Convert to fraction form
    262,608/382,430 = 382,430/x
  3. Step 3: Cross multiply
    262,608x = 382,430 × 382,430
  4. Step 4: Simplify right side
    262,608x = 146,252,704,900
  5. Step 5: Solve for x
    x = 146,252,704,900/262,608
  6. Step 6: Final answer
    x = 556,924.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.