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Finding the Third Proportional to 344,292.50 and 745,755.50

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Solution

The third proportional to 344,292.50 and 745,755.50 is: 1,615,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,292.50 : 745,755.50 = 745,755.50 : x
  2. Step 2: Convert to fraction form
    344,292.50/745,755.50 = 745,755.50/x
  3. Step 3: Cross multiply
    344,292.50x = 745,755.50 × 745,755.50
  4. Step 4: Simplify right side
    344,292.50x = 556,151,265,780.25
  5. Step 5: Solve for x
    x = 556,151,265,780.25/344,292.50
  6. Step 6: Final answer
    x = 1,615,345.28

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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.