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Finding the Third Proportional to 282,604 and 620,984

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Solution

The third proportional to 282,604 and 620,984 is: 1,364,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,604 : 620,984 = 620,984 : x
  2. Step 2: Convert to fraction form
    282,604/620,984 = 620,984/x
  3. Step 3: Cross multiply
    282,604x = 620,984 × 620,984
  4. Step 4: Simplify right side
    282,604x = 385,621,128,256
  5. Step 5: Solve for x
    x = 385,621,128,256/282,604
  6. Step 6: Final answer
    x = 1,364,528.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.