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Finding the Third Proportional to 235,588 and 511,316

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Solution

The third proportional to 235,588 and 511,316 is: 1,109,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,588 : 511,316 = 511,316 : x
  2. Step 2: Convert to fraction form
    235,588/511,316 = 511,316/x
  3. Step 3: Cross multiply
    235,588x = 511,316 × 511,316
  4. Step 4: Simplify right side
    235,588x = 261,444,051,856
  5. Step 5: Solve for x
    x = 261,444,051,856/235,588
  6. Step 6: Final answer
    x = 1,109,751.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.