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Finding the Third Proportional to 235,242 and 500,829

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Solution

The third proportional to 235,242 and 500,829 is: 1,066,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,242 : 500,829 = 500,829 : x
  2. Step 2: Convert to fraction form
    235,242/500,829 = 500,829/x
  3. Step 3: Cross multiply
    235,242x = 500,829 × 500,829
  4. Step 4: Simplify right side
    235,242x = 250,829,687,241
  5. Step 5: Solve for x
    x = 250,829,687,241/235,242
  6. Step 6: Final answer
    x = 1,066,262.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.