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Finding the Third Proportional to 390,772 and 856,428

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Solution

The third proportional to 390,772 and 856,428 is: 1,876,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,772 : 856,428 = 856,428 : x
  2. Step 2: Convert to fraction form
    390,772/856,428 = 856,428/x
  3. Step 3: Cross multiply
    390,772x = 856,428 × 856,428
  4. Step 4: Simplify right side
    390,772x = 733,468,919,184
  5. Step 5: Solve for x
    x = 733,468,919,184/390,772
  6. Step 6: Final answer
    x = 1,876,974.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.