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Finding the Third Proportional to 316,856.81 and 683,483.06

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Solution

The third proportional to 316,856.81 and 683,483.06 is: 1,474,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,856.81 : 683,483.06 = 683,483.06 : x
  2. Step 2: Convert to fraction form
    316,856.81/683,483.06 = 683,483.06/x
  3. Step 3: Cross multiply
    316,856.81x = 683,483.06 × 683,483.06
  4. Step 4: Simplify right side
    316,856.81x = 467,149,096,724.38
  5. Step 5: Solve for x
    x = 467,149,096,724.38/316,856.81
  6. Step 6: Final answer
    x = 1,474,322.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.