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Finding the Third Proportional to 358,492 and 550,271

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Solution

The third proportional to 358,492 and 550,271 is: 844,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,492 : 550,271 = 550,271 : x
  2. Step 2: Convert to fraction form
    358,492/550,271 = 550,271/x
  3. Step 3: Cross multiply
    358,492x = 550,271 × 550,271
  4. Step 4: Simplify right side
    358,492x = 302,798,173,441
  5. Step 5: Solve for x
    x = 302,798,173,441/358,492
  6. Step 6: Final answer
    x = 844,644.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.