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Finding the Third Proportional to 432,106 and 676,303

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Solution

The third proportional to 432,106 and 676,303 is: 1,058,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,106 : 676,303 = 676,303 : x
  2. Step 2: Convert to fraction form
    432,106/676,303 = 676,303/x
  3. Step 3: Cross multiply
    432,106x = 676,303 × 676,303
  4. Step 4: Simplify right side
    432,106x = 457,385,747,809
  5. Step 5: Solve for x
    x = 457,385,747,809/432,106
  6. Step 6: Final answer
    x = 1,058,503.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.