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Finding the Third Proportional to 233,572 and 483,752

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Solution

The third proportional to 233,572 and 483,752 is: 1,001,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572 : 483,752 = 483,752 : x
  2. Step 2: Convert to fraction form
    233,572/483,752 = 483,752/x
  3. Step 3: Cross multiply
    233,572x = 483,752 × 483,752
  4. Step 4: Simplify right side
    233,572x = 234,015,997,504
  5. Step 5: Solve for x
    x = 234,015,997,504/233,572
  6. Step 6: Final answer
    x = 1,001,900.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.