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Finding the Third Proportional to 291,213 and 452,371.50

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Solution

The third proportional to 291,213 and 452,371.50 is: 702,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213 : 452,371.50 = 452,371.50 : x
  2. Step 2: Convert to fraction form
    291,213/452,371.50 = 452,371.50/x
  3. Step 3: Cross multiply
    291,213x = 452,371.50 × 452,371.50
  4. Step 4: Simplify right side
    291,213x = 204,639,974,012.25
  5. Step 5: Solve for x
    x = 204,639,974,012.25/291,213
  6. Step 6: Final answer
    x = 702,715.79

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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.