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Finding the Third Proportional to 763,649.81 and 1,132,266.33

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Solution

The third proportional to 763,649.81 and 1,132,266.33 is: 1,678,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,649.81 : 1,132,266.33 = 1,132,266.33 : x
  2. Step 2: Convert to fraction form
    763,649.81/1,132,266.33 = 1,132,266.33/x
  3. Step 3: Cross multiply
    763,649.81x = 1,132,266.33 × 1,132,266.33
  4. Step 4: Simplify right side
    763,649.81x = 1,282,027,044,440.07
  5. Step 5: Solve for x
    x = 1,282,027,044,440.07/763,649.81
  6. Step 6: Final answer
    x = 1,678,815.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.