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Finding the Third Proportional to 344,034 and 754,488

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Solution

The third proportional to 344,034 and 754,488 is: 1,654,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,034 : 754,488 = 754,488 : x
  2. Step 2: Convert to fraction form
    344,034/754,488 = 754,488/x
  3. Step 3: Cross multiply
    344,034x = 754,488 × 754,488
  4. Step 4: Simplify right side
    344,034x = 569,252,142,144
  5. Step 5: Solve for x
    x = 569,252,142,144/344,034
  6. Step 6: Final answer
    x = 1,654,639.20

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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.