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Finding the Third Proportional to 607,323 and 865,143

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Solution

The third proportional to 607,323 and 865,143 is: 1,232,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,323 : 865,143 = 865,143 : x
  2. Step 2: Convert to fraction form
    607,323/865,143 = 865,143/x
  3. Step 3: Cross multiply
    607,323x = 865,143 × 865,143
  4. Step 4: Simplify right side
    607,323x = 748,472,410,449
  5. Step 5: Solve for x
    x = 748,472,410,449/607,323
  6. Step 6: Final answer
    x = 1,232,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.