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Finding the Third Proportional to 456,024 and 701,964

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Solution

The third proportional to 456,024 and 701,964 is: 1,080,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,024 : 701,964 = 701,964 : x
  2. Step 2: Convert to fraction form
    456,024/701,964 = 701,964/x
  3. Step 3: Cross multiply
    456,024x = 701,964 × 701,964
  4. Step 4: Simplify right side
    456,024x = 492,753,457,296
  5. Step 5: Solve for x
    x = 492,753,457,296/456,024
  6. Step 6: Final answer
    x = 1,080,542.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.