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Finding the Third Proportional to 284,964 and 601,968

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Solution

The third proportional to 284,964 and 601,968 is: 1,271,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,964 : 601,968 = 601,968 : x
  2. Step 2: Convert to fraction form
    284,964/601,968 = 601,968/x
  3. Step 3: Cross multiply
    284,964x = 601,968 × 601,968
  4. Step 4: Simplify right side
    284,964x = 362,365,473,024
  5. Step 5: Solve for x
    x = 362,365,473,024/284,964
  6. Step 6: Final answer
    x = 1,271,618.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.