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Finding the Third Proportional to 290,228.13 and 448,476.25

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Solution

The third proportional to 290,228.13 and 448,476.25 is: 693,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228.13 : 448,476.25 = 448,476.25 : x
  2. Step 2: Convert to fraction form
    290,228.13/448,476.25 = 448,476.25/x
  3. Step 3: Cross multiply
    290,228.13x = 448,476.25 × 448,476.25
  4. Step 4: Simplify right side
    290,228.13x = 201,130,946,814.06
  5. Step 5: Solve for x
    x = 201,130,946,814.06/290,228.13
  6. Step 6: Final answer
    x = 693,009.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.