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Finding the Third Proportional to 384,554.25 and 596,990.25

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Solution

The third proportional to 384,554.25 and 596,990.25 is: 926,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,554.25 : 596,990.25 = 596,990.25 : x
  2. Step 2: Convert to fraction form
    384,554.25/596,990.25 = 596,990.25/x
  3. Step 3: Cross multiply
    384,554.25x = 596,990.25 × 596,990.25
  4. Step 4: Simplify right side
    384,554.25x = 356,397,358,595.06
  5. Step 5: Solve for x
    x = 356,397,358,595.06/384,554.25
  6. Step 6: Final answer
    x = 926,780.44

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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.