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Finding the Third Proportional to 332,117 and 528,720

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Solution

The third proportional to 332,117 and 528,720 is: 841,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,117 : 528,720 = 528,720 : x
  2. Step 2: Convert to fraction form
    332,117/528,720 = 528,720/x
  3. Step 3: Cross multiply
    332,117x = 528,720 × 528,720
  4. Step 4: Simplify right side
    332,117x = 279,544,838,400
  5. Step 5: Solve for x
    x = 279,544,838,400/332,117
  6. Step 6: Final answer
    x = 841,705.90

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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.