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Finding the Third Proportional to 328,263.50 and 714,042.25

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Solution

The third proportional to 328,263.50 and 714,042.25 is: 1,553,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,263.50 : 714,042.25 = 714,042.25 : x
  2. Step 2: Convert to fraction form
    328,263.50/714,042.25 = 714,042.25/x
  3. Step 3: Cross multiply
    328,263.50x = 714,042.25 × 714,042.25
  4. Step 4: Simplify right side
    328,263.50x = 509,856,334,785.06
  5. Step 5: Solve for x
    x = 509,856,334,785.06/328,263.50
  6. Step 6: Final answer
    x = 1,553,192.28

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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.