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Finding the Third Proportional to 284,994 and 602,172

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Solution

The third proportional to 284,994 and 602,172 is: 1,272,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,994 : 602,172 = 602,172 : x
  2. Step 2: Convert to fraction form
    284,994/602,172 = 602,172/x
  3. Step 3: Cross multiply
    284,994x = 602,172 × 602,172
  4. Step 4: Simplify right side
    284,994x = 362,611,117,584
  5. Step 5: Solve for x
    x = 362,611,117,584/284,994
  6. Step 6: Final answer
    x = 1,272,346.50

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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.