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Finding the Third Proportional to 413,526.75 and 883,368.75

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Solution

The third proportional to 413,526.75 and 883,368.75 is: 1,887,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,526.75 : 883,368.75 = 883,368.75 : x
  2. Step 2: Convert to fraction form
    413,526.75/883,368.75 = 883,368.75/x
  3. Step 3: Cross multiply
    413,526.75x = 883,368.75 × 883,368.75
  4. Step 4: Simplify right side
    413,526.75x = 780,340,348,476.56
  5. Step 5: Solve for x
    x = 780,340,348,476.56/413,526.75
  6. Step 6: Final answer
    x = 1,887,037.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.