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Finding the Third Proportional to 343,496 and 732,642

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Solution

The third proportional to 343,496 and 732,642 is: 1,562,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,496 : 732,642 = 732,642 : x
  2. Step 2: Convert to fraction form
    343,496/732,642 = 732,642/x
  3. Step 3: Cross multiply
    343,496x = 732,642 × 732,642
  4. Step 4: Simplify right side
    343,496x = 536,764,300,164
  5. Step 5: Solve for x
    x = 536,764,300,164/343,496
  6. Step 6: Final answer
    x = 1,562,650.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.