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Finding the Third Proportional to 245,847.84 and 379,689.94

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Solution

The third proportional to 245,847.84 and 379,689.94 is: 586,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,847.84 : 379,689.94 = 379,689.94 : x
  2. Step 2: Convert to fraction form
    245,847.84/379,689.94 = 379,689.94/x
  3. Step 3: Cross multiply
    245,847.84x = 379,689.94 × 379,689.94
  4. Step 4: Simplify right side
    245,847.84x = 144,164,448,638.75
  5. Step 5: Solve for x
    x = 144,164,448,638.75/245,847.84
  6. Step 6: Final answer
    x = 586,397.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.