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Finding the Third Proportional to 352,576 and 514,095

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Solution

The third proportional to 352,576 and 514,095 is: 749,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,576 : 514,095 = 514,095 : x
  2. Step 2: Convert to fraction form
    352,576/514,095 = 514,095/x
  3. Step 3: Cross multiply
    352,576x = 514,095 × 514,095
  4. Step 4: Simplify right side
    352,576x = 264,293,669,025
  5. Step 5: Solve for x
    x = 264,293,669,025/352,576
  6. Step 6: Final answer
    x = 749,607.66

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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.