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Finding the Third Proportional to 314,679 and 483,964.50

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Solution

The third proportional to 314,679 and 483,964.50 is: 744,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,679 : 483,964.50 = 483,964.50 : x
  2. Step 2: Convert to fraction form
    314,679/483,964.50 = 483,964.50/x
  3. Step 3: Cross multiply
    314,679x = 483,964.50 × 483,964.50
  4. Step 4: Simplify right side
    314,679x = 234,221,637,260.25
  5. Step 5: Solve for x
    x = 234,221,637,260.25/314,679
  6. Step 6: Final answer
    x = 744,319.25

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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.