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Finding the Third Proportional to 334,470 and 518,265

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Solution

The third proportional to 334,470 and 518,265 is: 803,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,470 : 518,265 = 518,265 : x
  2. Step 2: Convert to fraction form
    334,470/518,265 = 518,265/x
  3. Step 3: Cross multiply
    334,470x = 518,265 × 518,265
  4. Step 4: Simplify right side
    334,470x = 268,598,610,225
  5. Step 5: Solve for x
    x = 268,598,610,225/334,470
  6. Step 6: Final answer
    x = 803,057.40

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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.