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Finding the Third Proportional to 384,088.50 and 553,292.44

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Solution

The third proportional to 384,088.50 and 553,292.44 is: 797,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,088.50 : 553,292.44 = 553,292.44 : x
  2. Step 2: Convert to fraction form
    384,088.50/553,292.44 = 553,292.44/x
  3. Step 3: Cross multiply
    384,088.50x = 553,292.44 × 553,292.44
  4. Step 4: Simplify right side
    384,088.50x = 306,132,521,394.69
  5. Step 5: Solve for x
    x = 306,132,521,394.69/384,088.50
  6. Step 6: Final answer
    x = 797,036.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.