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Finding the Third Proportional to 200,541.50 and 435,663

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Solution

The third proportional to 200,541.50 and 435,663 is: 946,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,541.50 : 435,663 = 435,663 : x
  2. Step 2: Convert to fraction form
    200,541.50/435,663 = 435,663/x
  3. Step 3: Cross multiply
    200,541.50x = 435,663 × 435,663
  4. Step 4: Simplify right side
    200,541.50x = 189,802,249,569
  5. Step 5: Solve for x
    x = 189,802,249,569/200,541.50
  6. Step 6: Final answer
    x = 946,448.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.