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Finding the Third Proportional to 332,887.50 and 471,030.75

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Solution

The third proportional to 332,887.50 and 471,030.75 is: 666,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,887.50 : 471,030.75 = 471,030.75 : x
  2. Step 2: Convert to fraction form
    332,887.50/471,030.75 = 471,030.75/x
  3. Step 3: Cross multiply
    332,887.50x = 471,030.75 × 471,030.75
  4. Step 4: Simplify right side
    332,887.50x = 221,869,967,445.56
  5. Step 5: Solve for x
    x = 221,869,967,445.56/332,887.50
  6. Step 6: Final answer
    x = 666,501.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.