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Finding the Third Proportional to 316,062 and 480,237

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Solution

The third proportional to 316,062 and 480,237 is: 729,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,062 : 480,237 = 480,237 : x
  2. Step 2: Convert to fraction form
    316,062/480,237 = 480,237/x
  3. Step 3: Cross multiply
    316,062x = 480,237 × 480,237
  4. Step 4: Simplify right side
    316,062x = 230,627,576,169
  5. Step 5: Solve for x
    x = 230,627,576,169/316,062
  6. Step 6: Final answer
    x = 729,690.93

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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.