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Finding the Third Proportional to 287,835.04 and 626,732.48

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Solution

The third proportional to 287,835.04 and 626,732.48 is: 1,364,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,835.04 : 626,732.48 = 626,732.48 : x
  2. Step 2: Convert to fraction form
    287,835.04/626,732.48 = 626,732.48/x
  3. Step 3: Cross multiply
    287,835.04x = 626,732.48 × 626,732.48
  4. Step 4: Simplify right side
    287,835.04x = 392,793,597,790.19
  5. Step 5: Solve for x
    x = 392,793,597,790.19/287,835.04
  6. Step 6: Final answer
    x = 1,364,648.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.