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Finding the Third Proportional to 455,275.69 and 983,496.94

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Solution

The third proportional to 455,275.69 and 983,496.94 is: 2,124,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,275.69 : 983,496.94 = 983,496.94 : x
  2. Step 2: Convert to fraction form
    455,275.69/983,496.94 = 983,496.94/x
  3. Step 3: Cross multiply
    455,275.69x = 983,496.94 × 983,496.94
  4. Step 4: Simplify right side
    455,275.69x = 967,266,226,071.88
  5. Step 5: Solve for x
    x = 967,266,226,071.88/455,275.69
  6. Step 6: Final answer
    x = 2,124,572.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.