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Finding the Third Proportional to 579,472 and 896,494

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Solution

The third proportional to 579,472 and 896,494 is: 1,386,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,472 : 896,494 = 896,494 : x
  2. Step 2: Convert to fraction form
    579,472/896,494 = 896,494/x
  3. Step 3: Cross multiply
    579,472x = 896,494 × 896,494
  4. Step 4: Simplify right side
    579,472x = 803,701,492,036
  5. Step 5: Solve for x
    x = 803,701,492,036/579,472
  6. Step 6: Final answer
    x = 1,386,954.83

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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.