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Finding the Third Proportional to 302,706 and 642,310

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Solution

The third proportional to 302,706 and 642,310 is: 1,362,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,706 : 642,310 = 642,310 : x
  2. Step 2: Convert to fraction form
    302,706/642,310 = 642,310/x
  3. Step 3: Cross multiply
    302,706x = 642,310 × 642,310
  4. Step 4: Simplify right side
    302,706x = 412,562,136,100
  5. Step 5: Solve for x
    x = 412,562,136,100/302,706
  6. Step 6: Final answer
    x = 1,362,913.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.