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Finding the Third Proportional to 235,944 and 513,354

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Solution

The third proportional to 235,944 and 513,354 is: 1,116,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,944 : 513,354 = 513,354 : x
  2. Step 2: Convert to fraction form
    235,944/513,354 = 513,354/x
  3. Step 3: Cross multiply
    235,944x = 513,354 × 513,354
  4. Step 4: Simplify right side
    235,944x = 263,532,329,316
  5. Step 5: Solve for x
    x = 263,532,329,316/235,944
  6. Step 6: Final answer
    x = 1,116,927.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.