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Finding the Third Proportional to 382,920 and 610,464

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Solution

The third proportional to 382,920 and 610,464 is: 973,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,920 : 610,464 = 610,464 : x
  2. Step 2: Convert to fraction form
    382,920/610,464 = 610,464/x
  3. Step 3: Cross multiply
    382,920x = 610,464 × 610,464
  4. Step 4: Simplify right side
    382,920x = 372,666,295,296
  5. Step 5: Solve for x
    x = 372,666,295,296/382,920
  6. Step 6: Final answer
    x = 973,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.