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Finding the Third Proportional to 280,824 and 609,312

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Solution

The third proportional to 280,824 and 609,312 is: 1,322,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,824 : 609,312 = 609,312 : x
  2. Step 2: Convert to fraction form
    280,824/609,312 = 609,312/x
  3. Step 3: Cross multiply
    280,824x = 609,312 × 609,312
  4. Step 4: Simplify right side
    280,824x = 371,261,113,344
  5. Step 5: Solve for x
    x = 371,261,113,344/280,824
  6. Step 6: Final answer
    x = 1,322,041.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.