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Finding the Third Proportional to 412,426.69 and 616,303.69

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Solution

The third proportional to 412,426.69 and 616,303.69 is: 920,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,426.69 : 616,303.69 = 616,303.69 : x
  2. Step 2: Convert to fraction form
    412,426.69/616,303.69 = 616,303.69/x
  3. Step 3: Cross multiply
    412,426.69x = 616,303.69 × 616,303.69
  4. Step 4: Simplify right side
    412,426.69x = 379,830,235,226.10
  5. Step 5: Solve for x
    x = 379,830,235,226.10/412,426.69
  6. Step 6: Final answer
    x = 920,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.