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Finding the Third Proportional to 579,474 and 896,497

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Solution

The third proportional to 579,474 and 896,497 is: 1,386,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,474 : 896,497 = 896,497 : x
  2. Step 2: Convert to fraction form
    579,474/896,497 = 896,497/x
  3. Step 3: Cross multiply
    579,474x = 896,497 × 896,497
  4. Step 4: Simplify right side
    579,474x = 803,706,871,009
  5. Step 5: Solve for x
    x = 803,706,871,009/579,474
  6. Step 6: Final answer
    x = 1,386,959.33

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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.