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Finding the Third Proportional to 301,412.81 and 650,151.14

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Solution

The third proportional to 301,412.81 and 650,151.14 is: 1,402,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412.81 : 650,151.14 = 650,151.14 : x
  2. Step 2: Convert to fraction form
    301,412.81/650,151.14 = 650,151.14/x
  3. Step 3: Cross multiply
    301,412.81x = 650,151.14 × 650,151.14
  4. Step 4: Simplify right side
    301,412.81x = 422,696,505,655.99
  5. Step 5: Solve for x
    x = 422,696,505,655.99/301,412.81
  6. Step 6: Final answer
    x = 1,402,384.00

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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.