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Finding the Third Proportional to 399,584 and 856,030

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Solution

The third proportional to 399,584 and 856,030 is: 1,833,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,584 : 856,030 = 856,030 : x
  2. Step 2: Convert to fraction form
    399,584/856,030 = 856,030/x
  3. Step 3: Cross multiply
    399,584x = 856,030 × 856,030
  4. Step 4: Simplify right side
    399,584x = 732,787,360,900
  5. Step 5: Solve for x
    x = 732,787,360,900/399,584
  6. Step 6: Final answer
    x = 1,833,875.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.