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Finding the Third Proportional to 344,145 and 754,764

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Solution

The third proportional to 344,145 and 754,764 is: 1,655,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,145 : 754,764 = 754,764 : x
  2. Step 2: Convert to fraction form
    344,145/754,764 = 754,764/x
  3. Step 3: Cross multiply
    344,145x = 754,764 × 754,764
  4. Step 4: Simplify right side
    344,145x = 569,668,695,696
  5. Step 5: Solve for x
    x = 569,668,695,696/344,145
  6. Step 6: Final answer
    x = 1,655,315.92

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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.