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Finding the Third Proportional to 424,728 and 662,904

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Solution

The third proportional to 424,728 and 662,904 is: 1,034,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,728 : 662,904 = 662,904 : x
  2. Step 2: Convert to fraction form
    424,728/662,904 = 662,904/x
  3. Step 3: Cross multiply
    424,728x = 662,904 × 662,904
  4. Step 4: Simplify right side
    424,728x = 439,441,713,216
  5. Step 5: Solve for x
    x = 439,441,713,216/424,728
  6. Step 6: Final answer
    x = 1,034,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.