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Finding the Third Proportional to 393,673.50 and 803,952

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Solution

The third proportional to 393,673.50 and 803,952 is: 1,641,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,673.50 : 803,952 = 803,952 : x
  2. Step 2: Convert to fraction form
    393,673.50/803,952 = 803,952/x
  3. Step 3: Cross multiply
    393,673.50x = 803,952 × 803,952
  4. Step 4: Simplify right side
    393,673.50x = 646,338,818,304
  5. Step 5: Solve for x
    x = 646,338,818,304/393,673.50
  6. Step 6: Final answer
    x = 1,641,814.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.