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Finding the Third Proportional to 238,464 and 513,492

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Solution

The third proportional to 238,464 and 513,492 is: 1,105,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464 : 513,492 = 513,492 : x
  2. Step 2: Convert to fraction form
    238,464/513,492 = 513,492/x
  3. Step 3: Cross multiply
    238,464x = 513,492 × 513,492
  4. Step 4: Simplify right side
    238,464x = 263,674,034,064
  5. Step 5: Solve for x
    x = 263,674,034,064/238,464
  6. Step 6: Final answer
    x = 1,105,718.41

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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.