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Finding the Third Proportional to 208,432 and 322,944

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Solution

The third proportional to 208,432 and 322,944 is: 500,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,432 : 322,944 = 322,944 : x
  2. Step 2: Convert to fraction form
    208,432/322,944 = 322,944/x
  3. Step 3: Cross multiply
    208,432x = 322,944 × 322,944
  4. Step 4: Simplify right side
    208,432x = 104,292,827,136
  5. Step 5: Solve for x
    x = 104,292,827,136/208,432
  6. Step 6: Final answer
    x = 500,368.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.