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Finding the Third Proportional to 332,125 and 528,731

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Solution

The third proportional to 332,125 and 528,731 is: 841,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,125 : 528,731 = 528,731 : x
  2. Step 2: Convert to fraction form
    332,125/528,731 = 528,731/x
  3. Step 3: Cross multiply
    332,125x = 528,731 × 528,731
  4. Step 4: Simplify right side
    332,125x = 279,556,470,361
  5. Step 5: Solve for x
    x = 279,556,470,361/332,125
  6. Step 6: Final answer
    x = 841,720.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.