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Finding the Third Proportional to 351,762 and 715,944

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Solution

The third proportional to 351,762 and 715,944 is: 1,457,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,762 : 715,944 = 715,944 : x
  2. Step 2: Convert to fraction form
    351,762/715,944 = 715,944/x
  3. Step 3: Cross multiply
    351,762x = 715,944 × 715,944
  4. Step 4: Simplify right side
    351,762x = 512,575,811,136
  5. Step 5: Solve for x
    x = 512,575,811,136/351,762
  6. Step 6: Final answer
    x = 1,457,166.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.