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Finding the Third Proportional to 359,293.50 and 563,626.13

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Solution

The third proportional to 359,293.50 and 563,626.13 is: 884,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,293.50 : 563,626.13 = 563,626.13 : x
  2. Step 2: Convert to fraction form
    359,293.50/563,626.13 = 563,626.13/x
  3. Step 3: Cross multiply
    359,293.50x = 563,626.13 × 563,626.13
  4. Step 4: Simplify right side
    359,293.50x = 317,674,408,782.52
  5. Step 5: Solve for x
    x = 317,674,408,782.52/359,293.50
  6. Step 6: Final answer
    x = 884,164.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.