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Finding the Third Proportional to 310,698 and 665,658

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Solution

The third proportional to 310,698 and 665,658 is: 1,426,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,698 : 665,658 = 665,658 : x
  2. Step 2: Convert to fraction form
    310,698/665,658 = 665,658/x
  3. Step 3: Cross multiply
    310,698x = 665,658 × 665,658
  4. Step 4: Simplify right side
    310,698x = 443,100,572,964
  5. Step 5: Solve for x
    x = 443,100,572,964/310,698
  6. Step 6: Final answer
    x = 1,426,145.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.