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Finding the Third Proportional to 386,970 and 586,296

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Solution

The third proportional to 386,970 and 586,296 is: 888,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970 : 586,296 = 586,296 : x
  2. Step 2: Convert to fraction form
    386,970/586,296 = 586,296/x
  3. Step 3: Cross multiply
    386,970x = 586,296 × 586,296
  4. Step 4: Simplify right side
    386,970x = 343,742,999,616
  5. Step 5: Solve for x
    x = 343,742,999,616/386,970
  6. Step 6: Final answer
    x = 888,293.67

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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.