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Finding the Third Proportional to 426,177 and 647,041.50

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Solution

The third proportional to 426,177 and 647,041.50 is: 982,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,177 : 647,041.50 = 647,041.50 : x
  2. Step 2: Convert to fraction form
    426,177/647,041.50 = 647,041.50/x
  3. Step 3: Cross multiply
    426,177x = 647,041.50 × 647,041.50
  4. Step 4: Simplify right side
    426,177x = 418,662,702,722.25
  5. Step 5: Solve for x
    x = 418,662,702,722.25/426,177
  6. Step 6: Final answer
    x = 982,368.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.