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Finding the Third Proportional to 269,006 and 607,312

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Solution

The third proportional to 269,006 and 607,312 is: 1,371,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006 : 607,312 = 607,312 : x
  2. Step 2: Convert to fraction form
    269,006/607,312 = 607,312/x
  3. Step 3: Cross multiply
    269,006x = 607,312 × 607,312
  4. Step 4: Simplify right side
    269,006x = 368,827,865,344
  5. Step 5: Solve for x
    x = 368,827,865,344/269,006
  6. Step 6: Final answer
    x = 1,371,076.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.