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Finding the Third Proportional to 352,548 and 514,056

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Solution

The third proportional to 352,548 and 514,056 is: 749,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,548 : 514,056 = 514,056 : x
  2. Step 2: Convert to fraction form
    352,548/514,056 = 514,056/x
  3. Step 3: Cross multiply
    352,548x = 514,056 × 514,056
  4. Step 4: Simplify right side
    352,548x = 264,253,571,136
  5. Step 5: Solve for x
    x = 264,253,571,136/352,548
  6. Step 6: Final answer
    x = 749,553.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.