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Finding the Third Proportional to 245,391 and 529,443

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Solution

The third proportional to 245,391 and 529,443 is: 1,142,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,391 : 529,443 = 529,443 : x
  2. Step 2: Convert to fraction form
    245,391/529,443 = 529,443/x
  3. Step 3: Cross multiply
    245,391x = 529,443 × 529,443
  4. Step 4: Simplify right side
    245,391x = 280,309,890,249
  5. Step 5: Solve for x
    x = 280,309,890,249/245,391
  6. Step 6: Final answer
    x = 1,142,298.99

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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.