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Finding the Third Proportional to 230,924 and 480,316

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Solution

The third proportional to 230,924 and 480,316 is: 999,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,924 : 480,316 = 480,316 : x
  2. Step 2: Convert to fraction form
    230,924/480,316 = 480,316/x
  3. Step 3: Cross multiply
    230,924x = 480,316 × 480,316
  4. Step 4: Simplify right side
    230,924x = 230,703,459,856
  5. Step 5: Solve for x
    x = 230,703,459,856/230,924
  6. Step 6: Final answer
    x = 999,044.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.