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Finding the Third Proportional to 241,410 and 353,475

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Solution

The third proportional to 241,410 and 353,475 is: 517,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,410 : 353,475 = 353,475 : x
  2. Step 2: Convert to fraction form
    241,410/353,475 = 353,475/x
  3. Step 3: Cross multiply
    241,410x = 353,475 × 353,475
  4. Step 4: Simplify right side
    241,410x = 124,944,575,625
  5. Step 5: Solve for x
    x = 124,944,575,625/241,410
  6. Step 6: Final answer
    x = 517,561.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.