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Finding the Third Proportional to 461,778 and 692,683

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Solution

The third proportional to 461,778 and 692,683 is: 1,039,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,778 : 692,683 = 692,683 : x
  2. Step 2: Convert to fraction form
    461,778/692,683 = 692,683/x
  3. Step 3: Cross multiply
    461,778x = 692,683 × 692,683
  4. Step 4: Simplify right side
    461,778x = 479,809,738,489
  5. Step 5: Solve for x
    x = 479,809,738,489/461,778
  6. Step 6: Final answer
    x = 1,039,048.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.