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Finding the Third Proportional to 237,879 and 514,953

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Solution

The third proportional to 237,879 and 514,953 is: 1,114,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,879 : 514,953 = 514,953 : x
  2. Step 2: Convert to fraction form
    237,879/514,953 = 514,953/x
  3. Step 3: Cross multiply
    237,879x = 514,953 × 514,953
  4. Step 4: Simplify right side
    237,879x = 265,176,592,209
  5. Step 5: Solve for x
    x = 265,176,592,209/237,879
  6. Step 6: Final answer
    x = 1,114,754.11

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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.