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Finding the Third Proportional to 384,166 and 838,316

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Solution

The third proportional to 384,166 and 838,316 is: 1,829,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,166 : 838,316 = 838,316 : x
  2. Step 2: Convert to fraction form
    384,166/838,316 = 838,316/x
  3. Step 3: Cross multiply
    384,166x = 838,316 × 838,316
  4. Step 4: Simplify right side
    384,166x = 702,773,715,856
  5. Step 5: Solve for x
    x = 702,773,715,856/384,166
  6. Step 6: Final answer
    x = 1,829,349.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.