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Finding the Third Proportional to 314,478 and 483,952

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Solution

The third proportional to 314,478 and 483,952 is: 744,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,478 : 483,952 = 483,952 : x
  2. Step 2: Convert to fraction form
    314,478/483,952 = 483,952/x
  3. Step 3: Cross multiply
    314,478x = 483,952 × 483,952
  4. Step 4: Simplify right side
    314,478x = 234,209,538,304
  5. Step 5: Solve for x
    x = 234,209,538,304/314,478
  6. Step 6: Final answer
    x = 744,756.51

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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.