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Finding the Third Proportional to 390,112.50 and 838,423.50

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Solution

The third proportional to 390,112.50 and 838,423.50 is: 1,801,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,112.50 : 838,423.50 = 838,423.50 : x
  2. Step 2: Convert to fraction form
    390,112.50/838,423.50 = 838,423.50/x
  3. Step 3: Cross multiply
    390,112.50x = 838,423.50 × 838,423.50
  4. Step 4: Simplify right side
    390,112.50x = 702,953,965,352.25
  5. Step 5: Solve for x
    x = 702,953,965,352.25/390,112.50
  6. Step 6: Final answer
    x = 1,801,926.28

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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.