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Finding the Third Proportional to 240,720 and 336,526

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Solution

The third proportional to 240,720 and 336,526 is: 470,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,720 : 336,526 = 336,526 : x
  2. Step 2: Convert to fraction form
    240,720/336,526 = 336,526/x
  3. Step 3: Cross multiply
    240,720x = 336,526 × 336,526
  4. Step 4: Simplify right side
    240,720x = 113,249,748,676
  5. Step 5: Solve for x
    x = 113,249,748,676/240,720
  6. Step 6: Final answer
    x = 470,462.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.