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Finding the Third Proportional to 314,452.13 and 483,913.13

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Solution

The third proportional to 314,452.13 and 483,913.13 is: 744,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452.13 : 483,913.13 = 483,913.13 : x
  2. Step 2: Convert to fraction form
    314,452.13/483,913.13 = 483,913.13/x
  3. Step 3: Cross multiply
    314,452.13x = 483,913.13 × 483,913.13
  4. Step 4: Simplify right side
    314,452.13x = 234,171,912,547.27
  5. Step 5: Solve for x
    x = 234,171,912,547.27/314,452.13
  6. Step 6: Final answer
    x = 744,698.14

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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.