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Finding the Third Proportional to 334,476 and 518,274

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Solution

The third proportional to 334,476 and 518,274 is: 803,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,476 : 518,274 = 518,274 : x
  2. Step 2: Convert to fraction form
    334,476/518,274 = 518,274/x
  3. Step 3: Cross multiply
    334,476x = 518,274 × 518,274
  4. Step 4: Simplify right side
    334,476x = 268,607,939,076
  5. Step 5: Solve for x
    x = 268,607,939,076/334,476
  6. Step 6: Final answer
    x = 803,070.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.