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Finding the Third Proportional to 358,732 and 754,642

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Solution

The third proportional to 358,732 and 754,642 is: 1,587,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,732 : 754,642 = 754,642 : x
  2. Step 2: Convert to fraction form
    358,732/754,642 = 754,642/x
  3. Step 3: Cross multiply
    358,732x = 754,642 × 754,642
  4. Step 4: Simplify right side
    358,732x = 569,484,548,164
  5. Step 5: Solve for x
    x = 569,484,548,164/358,732
  6. Step 6: Final answer
    x = 1,587,493.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.