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Finding the Third Proportional to 424,646 and 651,712

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Solution

The third proportional to 424,646 and 651,712 is: 1,000,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,646 : 651,712 = 651,712 : x
  2. Step 2: Convert to fraction form
    424,646/651,712 = 651,712/x
  3. Step 3: Cross multiply
    424,646x = 651,712 × 651,712
  4. Step 4: Simplify right side
    424,646x = 424,728,530,944
  5. Step 5: Solve for x
    x = 424,728,530,944/424,646
  6. Step 6: Final answer
    x = 1,000,194.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.