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Finding the Third Proportional to 485,148 and 737,514

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Solution

The third proportional to 485,148 and 737,514 is: 1,121,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,148 : 737,514 = 737,514 : x
  2. Step 2: Convert to fraction form
    485,148/737,514 = 737,514/x
  3. Step 3: Cross multiply
    485,148x = 737,514 × 737,514
  4. Step 4: Simplify right side
    485,148x = 543,926,900,196
  5. Step 5: Solve for x
    x = 543,926,900,196/485,148
  6. Step 6: Final answer
    x = 1,121,156.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.