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Finding the Third Proportional to 332,106 and 528,705

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Solution

The third proportional to 332,106 and 528,705 is: 841,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,106 : 528,705 = 528,705 : x
  2. Step 2: Convert to fraction form
    332,106/528,705 = 528,705/x
  3. Step 3: Cross multiply
    332,106x = 528,705 × 528,705
  4. Step 4: Simplify right side
    332,106x = 279,528,977,025
  5. Step 5: Solve for x
    x = 279,528,977,025/332,106
  6. Step 6: Final answer
    x = 841,686.02

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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.