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Finding the Third Proportional to 235,829 and 511,528

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Solution

The third proportional to 235,829 and 511,528 is: 1,109,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,829 : 511,528 = 511,528 : x
  2. Step 2: Convert to fraction form
    235,829/511,528 = 511,528/x
  3. Step 3: Cross multiply
    235,829x = 511,528 × 511,528
  4. Step 4: Simplify right side
    235,829x = 261,660,894,784
  5. Step 5: Solve for x
    x = 261,660,894,784/235,829
  6. Step 6: Final answer
    x = 1,109,536.55

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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.