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Finding the Third Proportional to 282,182.63 and 602,636.63

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Solution

The third proportional to 282,182.63 and 602,636.63 is: 1,287,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,182.63 : 602,636.63 = 602,636.63 : x
  2. Step 2: Convert to fraction form
    282,182.63/602,636.63 = 602,636.63/x
  3. Step 3: Cross multiply
    282,182.63x = 602,636.63 × 602,636.63
  4. Step 4: Simplify right side
    282,182.63x = 363,170,901,791.39
  5. Step 5: Solve for x
    x = 363,170,901,791.39/282,182.63
  6. Step 6: Final answer
    x = 1,287,006.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.