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Finding the Third Proportional to 498,605.63 and 1,087,394.63

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Solution

The third proportional to 498,605.63 and 1,087,394.63 is: 2,371,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,605.63 : 1,087,394.63 = 1,087,394.63 : x
  2. Step 2: Convert to fraction form
    498,605.63/1,087,394.63 = 1,087,394.63/x
  3. Step 3: Cross multiply
    498,605.63x = 1,087,394.63 × 1,087,394.63
  4. Step 4: Simplify right side
    498,605.63x = 1,182,427,070,478.89
  5. Step 5: Solve for x
    x = 1,182,427,070,478.89/498,605.63
  6. Step 6: Final answer
    x = 2,371,467.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.