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Finding the Third Proportional to 245,414 and 529,492

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Solution

The third proportional to 245,414 and 529,492 is: 1,142,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,414 : 529,492 = 529,492 : x
  2. Step 2: Convert to fraction form
    245,414/529,492 = 529,492/x
  3. Step 3: Cross multiply
    245,414x = 529,492 × 529,492
  4. Step 4: Simplify right side
    245,414x = 280,361,778,064
  5. Step 5: Solve for x
    x = 280,361,778,064/245,414
  6. Step 6: Final answer
    x = 1,142,403.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.