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Finding the Third Proportional to 830,497.50 and 1,282,491

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Solution

The third proportional to 830,497.50 and 1,282,491 is: 1,980,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,497.50 : 1,282,491 = 1,282,491 : x
  2. Step 2: Convert to fraction form
    830,497.50/1,282,491 = 1,282,491/x
  3. Step 3: Cross multiply
    830,497.50x = 1,282,491 × 1,282,491
  4. Step 4: Simplify right side
    830,497.50x = 1,644,783,165,081
  5. Step 5: Solve for x
    x = 1,644,783,165,081/830,497.50
  6. Step 6: Final answer
    x = 1,980,479.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.