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Finding the Third Proportional to 344,148 and 754,770

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Solution

The third proportional to 344,148 and 754,770 is: 1,655,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,148 : 754,770 = 754,770 : x
  2. Step 2: Convert to fraction form
    344,148/754,770 = 754,770/x
  3. Step 3: Cross multiply
    344,148x = 754,770 × 754,770
  4. Step 4: Simplify right side
    344,148x = 569,677,752,900
  5. Step 5: Solve for x
    x = 569,677,752,900/344,148
  6. Step 6: Final answer
    x = 1,655,327.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.