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Finding the Third Proportional to 356,316 and 784,056

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Solution

The third proportional to 356,316 and 784,056 is: 1,725,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,316 : 784,056 = 784,056 : x
  2. Step 2: Convert to fraction form
    356,316/784,056 = 784,056/x
  3. Step 3: Cross multiply
    356,316x = 784,056 × 784,056
  4. Step 4: Simplify right side
    356,316x = 614,743,811,136
  5. Step 5: Solve for x
    x = 614,743,811,136/356,316
  6. Step 6: Final answer
    x = 1,725,277.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.