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Finding the Third Proportional to 316,096 and 484,709

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Solution

The third proportional to 316,096 and 484,709 is: 743,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,096 : 484,709 = 484,709 : x
  2. Step 2: Convert to fraction form
    316,096/484,709 = 484,709/x
  3. Step 3: Cross multiply
    316,096x = 484,709 × 484,709
  4. Step 4: Simplify right side
    316,096x = 234,942,814,681
  5. Step 5: Solve for x
    x = 234,942,814,681/316,096
  6. Step 6: Final answer
    x = 743,264.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.