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Finding the Third Proportional to 308,184 and 662,352

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Solution

The third proportional to 308,184 and 662,352 is: 1,423,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,184 : 662,352 = 662,352 : x
  2. Step 2: Convert to fraction form
    308,184/662,352 = 662,352/x
  3. Step 3: Cross multiply
    308,184x = 662,352 × 662,352
  4. Step 4: Simplify right side
    308,184x = 438,710,171,904
  5. Step 5: Solve for x
    x = 438,710,171,904/308,184
  6. Step 6: Final answer
    x = 1,423,533.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.