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Finding the Third Proportional to 429,040.50 and 942,097.50

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Solution

The third proportional to 429,040.50 and 942,097.50 is: 2,068,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,040.50 : 942,097.50 = 942,097.50 : x
  2. Step 2: Convert to fraction form
    429,040.50/942,097.50 = 942,097.50/x
  3. Step 3: Cross multiply
    429,040.50x = 942,097.50 × 942,097.50
  4. Step 4: Simplify right side
    429,040.50x = 887,547,699,506.25
  5. Step 5: Solve for x
    x = 887,547,699,506.25/429,040.50
  6. Step 6: Final answer
    x = 2,068,680.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.