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Finding the Third Proportional to 904.69 and 1,973.06

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Solution

The third proportional to 904.69 and 1,973.06 is: 4,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.69 : 1,973.06 = 1,973.06 : x
  2. Step 2: Convert to fraction form
    904.69/1,973.06 = 1,973.06/x
  3. Step 3: Cross multiply
    904.69x = 1,973.06 × 1,973.06
  4. Step 4: Simplify right side
    904.69x = 3,892,975.63
  5. Step 5: Solve for x
    x = 3,892,975.63/904.69
  6. Step 6: Final answer
    x = 4,303.12

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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.