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Finding the Third Proportional to 432,370 and 690,705

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Solution

The third proportional to 432,370 and 690,705 is: 1,103,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,370 : 690,705 = 690,705 : x
  2. Step 2: Convert to fraction form
    432,370/690,705 = 690,705/x
  3. Step 3: Cross multiply
    432,370x = 690,705 × 690,705
  4. Step 4: Simplify right side
    432,370x = 477,073,397,025
  5. Step 5: Solve for x
    x = 477,073,397,025/432,370
  6. Step 6: Final answer
    x = 1,103,391.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.