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Finding the Third Proportional to 344,187.75 and 745,567.50

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Solution

The third proportional to 344,187.75 and 745,567.50 is: 1,615,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,187.75 : 745,567.50 = 745,567.50 : x
  2. Step 2: Convert to fraction form
    344,187.75/745,567.50 = 745,567.50/x
  3. Step 3: Cross multiply
    344,187.75x = 745,567.50 × 745,567.50
  4. Step 4: Simplify right side
    344,187.75x = 555,870,897,056.25
  5. Step 5: Solve for x
    x = 555,870,897,056.25/344,187.75
  6. Step 6: Final answer
    x = 1,615,022.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.