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Finding the Third Proportional to 314,457 and 483,921

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Solution

The third proportional to 314,457 and 483,921 is: 744,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457 : 483,921 = 483,921 : x
  2. Step 2: Convert to fraction form
    314,457/483,921 = 483,921/x
  3. Step 3: Cross multiply
    314,457x = 483,921 × 483,921
  4. Step 4: Simplify right side
    314,457x = 234,179,534,241
  5. Step 5: Solve for x
    x = 234,179,534,241/314,457
  6. Step 6: Final answer
    x = 744,710.83

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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.