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Finding the Third Proportional to 307,070 and 666,590

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Solution

The third proportional to 307,070 and 666,590 is: 1,447,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,070 : 666,590 = 666,590 : x
  2. Step 2: Convert to fraction form
    307,070/666,590 = 666,590/x
  3. Step 3: Cross multiply
    307,070x = 666,590 × 666,590
  4. Step 4: Simplify right side
    307,070x = 444,342,228,100
  5. Step 5: Solve for x
    x = 444,342,228,100/307,070
  6. Step 6: Final answer
    x = 1,447,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.