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Finding the Third Proportional to 404,358.75 and 536,554.13

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Solution

The third proportional to 404,358.75 and 536,554.13 is: 711,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,358.75 : 536,554.13 = 536,554.13 : x
  2. Step 2: Convert to fraction form
    404,358.75/536,554.13 = 536,554.13/x
  3. Step 3: Cross multiply
    404,358.75x = 536,554.13 × 536,554.13
  4. Step 4: Simplify right side
    404,358.75x = 287,890,329,054.52
  5. Step 5: Solve for x
    x = 287,890,329,054.52/404,358.75
  6. Step 6: Final answer
    x = 711,967.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.