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Finding the Third Proportional to 270,243 and 420,673.50

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Solution

The third proportional to 270,243 and 420,673.50 is: 654,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,243 : 420,673.50 = 420,673.50 : x
  2. Step 2: Convert to fraction form
    270,243/420,673.50 = 420,673.50/x
  3. Step 3: Cross multiply
    270,243x = 420,673.50 × 420,673.50
  4. Step 4: Simplify right side
    270,243x = 176,966,193,602.25
  5. Step 5: Solve for x
    x = 176,966,193,602.25/270,243
  6. Step 6: Final answer
    x = 654,840.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.