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Finding the Third Proportional to 237,818 and 514,840

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Solution

The third proportional to 237,818 and 514,840 is: 1,114,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,818 : 514,840 = 514,840 : x
  2. Step 2: Convert to fraction form
    237,818/514,840 = 514,840/x
  3. Step 3: Cross multiply
    237,818x = 514,840 × 514,840
  4. Step 4: Simplify right side
    237,818x = 265,060,225,600
  5. Step 5: Solve for x
    x = 265,060,225,600/237,818
  6. Step 6: Final answer
    x = 1,114,550.73

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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.