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Finding the Third Proportional to 484,303 and 988,316

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Solution

The third proportional to 484,303 and 988,316 is: 2,016,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,303 : 988,316 = 988,316 : x
  2. Step 2: Convert to fraction form
    484,303/988,316 = 988,316/x
  3. Step 3: Cross multiply
    484,303x = 988,316 × 988,316
  4. Step 4: Simplify right side
    484,303x = 976,768,515,856
  5. Step 5: Solve for x
    x = 976,768,515,856/484,303
  6. Step 6: Final answer
    x = 2,016,854.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.