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Finding the Third Proportional to 211,681.69 and 457,867.69

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Solution

The third proportional to 211,681.69 and 457,867.69 is: 990,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,681.69 : 457,867.69 = 457,867.69 : x
  2. Step 2: Convert to fraction form
    211,681.69/457,867.69 = 457,867.69/x
  3. Step 3: Cross multiply
    211,681.69x = 457,867.69 × 457,867.69
  4. Step 4: Simplify right side
    211,681.69x = 209,642,819,256.60
  5. Step 5: Solve for x
    x = 209,642,819,256.60/211,681.69
  6. Step 6: Final answer
    x = 990,368.24

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