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Finding the Third Proportional to 320,466 and 496,053

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Solution

The third proportional to 320,466 and 496,053 is: 767,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,466 : 496,053 = 496,053 : x
  2. Step 2: Convert to fraction form
    320,466/496,053 = 496,053/x
  3. Step 3: Cross multiply
    320,466x = 496,053 × 496,053
  4. Step 4: Simplify right side
    320,466x = 246,068,578,809
  5. Step 5: Solve for x
    x = 246,068,578,809/320,466
  6. Step 6: Final answer
    x = 767,846.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.