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Finding the Third Proportional to 309,051 and 677,160

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Solution

The third proportional to 309,051 and 677,160 is: 1,483,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,051 : 677,160 = 677,160 : x
  2. Step 2: Convert to fraction form
    309,051/677,160 = 677,160/x
  3. Step 3: Cross multiply
    309,051x = 677,160 × 677,160
  4. Step 4: Simplify right side
    309,051x = 458,545,665,600
  5. Step 5: Solve for x
    x = 458,545,665,600/309,051
  6. Step 6: Final answer
    x = 1,483,721.67

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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.