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Finding the Third Proportional to 307,030 and 473,667

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Solution

The third proportional to 307,030 and 473,667 is: 730,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,030 : 473,667 = 473,667 : x
  2. Step 2: Convert to fraction form
    307,030/473,667 = 473,667/x
  3. Step 3: Cross multiply
    307,030x = 473,667 × 473,667
  4. Step 4: Simplify right side
    307,030x = 224,360,426,889
  5. Step 5: Solve for x
    x = 224,360,426,889/307,030
  6. Step 6: Final answer
    x = 730,744.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.