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Finding the Third Proportional to 310,042.69 and 465,066.56

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Solution

The third proportional to 310,042.69 and 465,066.56 is: 697,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,042.69 : 465,066.56 = 465,066.56 : x
  2. Step 2: Convert to fraction form
    310,042.69/465,066.56 = 465,066.56/x
  3. Step 3: Cross multiply
    310,042.69x = 465,066.56 × 465,066.56
  4. Step 4: Simplify right side
    310,042.69x = 216,286,907,555.57
  5. Step 5: Solve for x
    x = 216,286,907,555.57/310,042.69
  6. Step 6: Final answer
    x = 697,603.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.