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Finding the Third Proportional to 592,492 and 962,502

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Solution

The third proportional to 592,492 and 962,502 is: 1,563,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,492 : 962,502 = 962,502 : x
  2. Step 2: Convert to fraction form
    592,492/962,502 = 962,502/x
  3. Step 3: Cross multiply
    592,492x = 962,502 × 962,502
  4. Step 4: Simplify right side
    592,492x = 926,410,100,004
  5. Step 5: Solve for x
    x = 926,410,100,004/592,492
  6. Step 6: Final answer
    x = 1,563,582.46

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.