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Finding the Third Proportional to 340,416 and 500,768

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Solution

The third proportional to 340,416 and 500,768 is: 736,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416 : 500,768 = 500,768 : x
  2. Step 2: Convert to fraction form
    340,416/500,768 = 500,768/x
  3. Step 3: Cross multiply
    340,416x = 500,768 × 500,768
  4. Step 4: Simplify right side
    340,416x = 250,768,589,824
  5. Step 5: Solve for x
    x = 250,768,589,824/340,416
  6. Step 6: Final answer
    x = 736,653.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.