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Finding the Third Proportional to 302,020 and 362,710

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Solution

The third proportional to 302,020 and 362,710 is: 435,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020 : 362,710 = 362,710 : x
  2. Step 2: Convert to fraction form
    302,020/362,710 = 362,710/x
  3. Step 3: Cross multiply
    302,020x = 362,710 × 362,710
  4. Step 4: Simplify right side
    302,020x = 131,558,544,100
  5. Step 5: Solve for x
    x = 131,558,544,100/302,020
  6. Step 6: Final answer
    x = 435,595.47

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.