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Finding the Third Proportional to 510,938 and 784,263

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Solution

The third proportional to 510,938 and 784,263 is: 1,203,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,938 : 784,263 = 784,263 : x
  2. Step 2: Convert to fraction form
    510,938/784,263 = 784,263/x
  3. Step 3: Cross multiply
    510,938x = 784,263 × 784,263
  4. Step 4: Simplify right side
    510,938x = 615,068,453,169
  5. Step 5: Solve for x
    x = 615,068,453,169/510,938
  6. Step 6: Final answer
    x = 1,203,802.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.