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Finding the Third Proportional to 237,966.19 and 519,341.63

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Solution

The third proportional to 237,966.19 and 519,341.63 is: 1,133,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,966.19 : 519,341.63 = 519,341.63 : x
  2. Step 2: Convert to fraction form
    237,966.19/519,341.63 = 519,341.63/x
  3. Step 3: Cross multiply
    237,966.19x = 519,341.63 × 519,341.63
  4. Step 4: Simplify right side
    237,966.19x = 269,715,723,457.64
  5. Step 5: Solve for x
    x = 269,715,723,457.64/237,966.19
  6. Step 6: Final answer
    x = 1,133,420.37

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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.