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Finding the Third Proportional to 384,207 and 843,148

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Solution

The third proportional to 384,207 and 843,148 is: 1,850,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207 : 843,148 = 843,148 : x
  2. Step 2: Convert to fraction form
    384,207/843,148 = 843,148/x
  3. Step 3: Cross multiply
    384,207x = 843,148 × 843,148
  4. Step 4: Simplify right side
    384,207x = 710,898,549,904
  5. Step 5: Solve for x
    x = 710,898,549,904/384,207
  6. Step 6: Final answer
    x = 1,850,300.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.