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Finding the Third Proportional to 328,544 and 716,056

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Solution

The third proportional to 328,544 and 716,056 is: 1,560,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,544 : 716,056 = 716,056 : x
  2. Step 2: Convert to fraction form
    328,544/716,056 = 716,056/x
  3. Step 3: Cross multiply
    328,544x = 716,056 × 716,056
  4. Step 4: Simplify right side
    328,544x = 512,736,195,136
  5. Step 5: Solve for x
    x = 512,736,195,136/328,544
  6. Step 6: Final answer
    x = 1,560,631.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.