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Finding the Third Proportional to 369,748 and 757,019

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Solution

The third proportional to 369,748 and 757,019 is: 1,549,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,748 : 757,019 = 757,019 : x
  2. Step 2: Convert to fraction form
    369,748/757,019 = 757,019/x
  3. Step 3: Cross multiply
    369,748x = 757,019 × 757,019
  4. Step 4: Simplify right side
    369,748x = 573,077,766,361
  5. Step 5: Solve for x
    x = 573,077,766,361/369,748
  6. Step 6: Final answer
    x = 1,549,914.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.