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Finding the Third Proportional to 334,152 and 695,952

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Solution

The third proportional to 334,152 and 695,952 is: 1,449,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,152 : 695,952 = 695,952 : x
  2. Step 2: Convert to fraction form
    334,152/695,952 = 695,952/x
  3. Step 3: Cross multiply
    334,152x = 695,952 × 695,952
  4. Step 4: Simplify right side
    334,152x = 484,349,186,304
  5. Step 5: Solve for x
    x = 484,349,186,304/334,152
  6. Step 6: Final answer
    x = 1,449,487.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.