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Finding the Third Proportional to 319,303 and 480,287

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Solution

The third proportional to 319,303 and 480,287 is: 722,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,303 : 480,287 = 480,287 : x
  2. Step 2: Convert to fraction form
    319,303/480,287 = 480,287/x
  3. Step 3: Cross multiply
    319,303x = 480,287 × 480,287
  4. Step 4: Simplify right side
    319,303x = 230,675,602,369
  5. Step 5: Solve for x
    x = 230,675,602,369/319,303
  6. Step 6: Final answer
    x = 722,434.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.