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Finding the Third Proportional to 282,004 and 436,877

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Solution

The third proportional to 282,004 and 436,877 is: 676,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,004 : 436,877 = 436,877 : x
  2. Step 2: Convert to fraction form
    282,004/436,877 = 436,877/x
  3. Step 3: Cross multiply
    282,004x = 436,877 × 436,877
  4. Step 4: Simplify right side
    282,004x = 190,861,513,129
  5. Step 5: Solve for x
    x = 190,861,513,129/282,004
  6. Step 6: Final answer
    x = 676,804.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.