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Finding the Third Proportional to 316,770 and 638,724

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Solution

The third proportional to 316,770 and 638,724 is: 1,287,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,770 : 638,724 = 638,724 : x
  2. Step 2: Convert to fraction form
    316,770/638,724 = 638,724/x
  3. Step 3: Cross multiply
    316,770x = 638,724 × 638,724
  4. Step 4: Simplify right side
    316,770x = 407,968,348,176
  5. Step 5: Solve for x
    x = 407,968,348,176/316,770
  6. Step 6: Final answer
    x = 1,287,900.84

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.