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Finding the Third Proportional to 340,633.50 and 716,554.50

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Solution

The third proportional to 340,633.50 and 716,554.50 is: 1,507,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,633.50 : 716,554.50 = 716,554.50 : x
  2. Step 2: Convert to fraction form
    340,633.50/716,554.50 = 716,554.50/x
  3. Step 3: Cross multiply
    340,633.50x = 716,554.50 × 716,554.50
  4. Step 4: Simplify right side
    340,633.50x = 513,450,351,470.25
  5. Step 5: Solve for x
    x = 513,450,351,470.25/340,633.50
  6. Step 6: Final answer
    x = 1,507,339.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.