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Finding the Third Proportional to 462,965 and 660,770

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Solution

The third proportional to 462,965 and 660,770 is: 943,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,965 : 660,770 = 660,770 : x
  2. Step 2: Convert to fraction form
    462,965/660,770 = 660,770/x
  3. Step 3: Cross multiply
    462,965x = 660,770 × 660,770
  4. Step 4: Simplify right side
    462,965x = 436,616,992,900
  5. Step 5: Solve for x
    x = 436,616,992,900/462,965
  6. Step 6: Final answer
    x = 943,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.