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Finding the Third Proportional to 237,840 and 514,884

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Solution

The third proportional to 237,840 and 514,884 is: 1,114,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,840 : 514,884 = 514,884 : x
  2. Step 2: Convert to fraction form
    237,840/514,884 = 514,884/x
  3. Step 3: Cross multiply
    237,840x = 514,884 × 514,884
  4. Step 4: Simplify right side
    237,840x = 265,105,533,456
  5. Step 5: Solve for x
    x = 265,105,533,456/237,840
  6. Step 6: Final answer
    x = 1,114,638.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.