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Finding the Third Proportional to 292,680 and 638,401.50

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Solution

The third proportional to 292,680 and 638,401.50 is: 1,392,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,680 : 638,401.50 = 638,401.50 : x
  2. Step 2: Convert to fraction form
    292,680/638,401.50 = 638,401.50/x
  3. Step 3: Cross multiply
    292,680x = 638,401.50 × 638,401.50
  4. Step 4: Simplify right side
    292,680x = 407,556,475,202.25
  5. Step 5: Solve for x
    x = 407,556,475,202.25/292,680
  6. Step 6: Final answer
    x = 1,392,498.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.