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Finding the Third Proportional to 343,300 and 717,988

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Solution

The third proportional to 343,300 and 717,988 is: 1,501,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,300 : 717,988 = 717,988 : x
  2. Step 2: Convert to fraction form
    343,300/717,988 = 717,988/x
  3. Step 3: Cross multiply
    343,300x = 717,988 × 717,988
  4. Step 4: Simplify right side
    343,300x = 515,506,768,144
  5. Step 5: Solve for x
    x = 515,506,768,144/343,300
  6. Step 6: Final answer
    x = 1,501,621.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.