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Finding the Third Proportional to 245,492 and 360,462

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Solution

The third proportional to 245,492 and 360,462 is: 529,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,492 : 360,462 = 360,462 : x
  2. Step 2: Convert to fraction form
    245,492/360,462 = 360,462/x
  3. Step 3: Cross multiply
    245,492x = 360,462 × 360,462
  4. Step 4: Simplify right side
    245,492x = 129,932,853,444
  5. Step 5: Solve for x
    x = 129,932,853,444/245,492
  6. Step 6: Final answer
    x = 529,275.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.