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Finding the Third Proportional to 242,020 and 384,385

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Solution

The third proportional to 242,020 and 384,385 is: 610,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020 : 384,385 = 384,385 : x
  2. Step 2: Convert to fraction form
    242,020/384,385 = 384,385/x
  3. Step 3: Cross multiply
    242,020x = 384,385 × 384,385
  4. Step 4: Simplify right side
    242,020x = 147,751,828,225
  5. Step 5: Solve for x
    x = 147,751,828,225/242,020
  6. Step 6: Final answer
    x = 610,494.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.