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Finding the Third Proportional to 483,690 and 709,848.75

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Solution

The third proportional to 483,690 and 709,848.75 is: 1,041,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,690 : 709,848.75 = 709,848.75 : x
  2. Step 2: Convert to fraction form
    483,690/709,848.75 = 709,848.75/x
  3. Step 3: Cross multiply
    483,690x = 709,848.75 × 709,848.75
  4. Step 4: Simplify right side
    483,690x = 503,885,247,876.56
  5. Step 5: Solve for x
    x = 503,885,247,876.56/483,690
  6. Step 6: Final answer
    x = 1,041,752.46

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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.