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Finding the Third Proportional to 430,592 and 926,992

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Solution

The third proportional to 430,592 and 926,992 is: 1,995,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,592 : 926,992 = 926,992 : x
  2. Step 2: Convert to fraction form
    430,592/926,992 = 926,992/x
  3. Step 3: Cross multiply
    430,592x = 926,992 × 926,992
  4. Step 4: Simplify right side
    430,592x = 859,314,168,064
  5. Step 5: Solve for x
    x = 859,314,168,064/430,592
  6. Step 6: Final answer
    x = 1,995,657.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.