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Finding the Third Proportional to 315,966 and 484,508

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Solution

The third proportional to 315,966 and 484,508 is: 742,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,966 : 484,508 = 484,508 : x
  2. Step 2: Convert to fraction form
    315,966/484,508 = 484,508/x
  3. Step 3: Cross multiply
    315,966x = 484,508 × 484,508
  4. Step 4: Simplify right side
    315,966x = 234,748,002,064
  5. Step 5: Solve for x
    x = 234,748,002,064/315,966
  6. Step 6: Final answer
    x = 742,953.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.