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Finding the Third Proportional to 608,536.13 and 945,973.69

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Solution

The third proportional to 608,536.13 and 945,973.69 is: 1,470,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,536.13 : 945,973.69 = 945,973.69 : x
  2. Step 2: Convert to fraction form
    608,536.13/945,973.69 = 945,973.69/x
  3. Step 3: Cross multiply
    608,536.13x = 945,973.69 × 945,973.69
  4. Step 4: Simplify right side
    608,536.13x = 894,866,217,442.35
  5. Step 5: Solve for x
    x = 894,866,217,442.35/608,536.13
  6. Step 6: Final answer
    x = 1,470,522.75

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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.