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Finding the Third Proportional to 327,784 and 708,056

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Solution

The third proportional to 327,784 and 708,056 is: 1,529,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,784 : 708,056 = 708,056 : x
  2. Step 2: Convert to fraction form
    327,784/708,056 = 708,056/x
  3. Step 3: Cross multiply
    327,784x = 708,056 × 708,056
  4. Step 4: Simplify right side
    327,784x = 501,343,299,136
  5. Step 5: Solve for x
    x = 501,343,299,136/327,784
  6. Step 6: Final answer
    x = 1,529,492.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.