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Finding the Third Proportional to 332,146 and 528,761

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Solution

The third proportional to 332,146 and 528,761 is: 841,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,146 : 528,761 = 528,761 : x
  2. Step 2: Convert to fraction form
    332,146/528,761 = 528,761/x
  3. Step 3: Cross multiply
    332,146x = 528,761 × 528,761
  4. Step 4: Simplify right side
    332,146x = 279,588,195,121
  5. Step 5: Solve for x
    x = 279,588,195,121/332,146
  6. Step 6: Final answer
    x = 841,762.94

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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.