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Finding the Third Proportional to 343,282 and 717,952

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Solution

The third proportional to 343,282 and 717,952 is: 1,501,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,282 : 717,952 = 717,952 : x
  2. Step 2: Convert to fraction form
    343,282/717,952 = 717,952/x
  3. Step 3: Cross multiply
    343,282x = 717,952 × 717,952
  4. Step 4: Simplify right side
    343,282x = 515,455,074,304
  5. Step 5: Solve for x
    x = 515,455,074,304/343,282
  6. Step 6: Final answer
    x = 1,501,549.96

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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.