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Finding the Third Proportional to 383,530.17 and 586,972.43

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Solution

The third proportional to 383,530.17 and 586,972.43 is: 898,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,530.17 : 586,972.43 = 586,972.43 : x
  2. Step 2: Convert to fraction form
    383,530.17/586,972.43 = 586,972.43/x
  3. Step 3: Cross multiply
    383,530.17x = 586,972.43 × 586,972.43
  4. Step 4: Simplify right side
    383,530.17x = 344,536,636,652.53
  5. Step 5: Solve for x
    x = 344,536,636,652.53/383,530.17
  6. Step 6: Final answer
    x = 898,329.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.