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Finding the Third Proportional to 341,570 and 513,453

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Solution

The third proportional to 341,570 and 513,453 is: 771,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,570 : 513,453 = 513,453 : x
  2. Step 2: Convert to fraction form
    341,570/513,453 = 513,453/x
  3. Step 3: Cross multiply
    341,570x = 513,453 × 513,453
  4. Step 4: Simplify right side
    341,570x = 263,633,983,209
  5. Step 5: Solve for x
    x = 263,633,983,209/341,570
  6. Step 6: Final answer
    x = 771,830.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.