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Finding the Third Proportional to 403,035.75 and 849,801.38

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Solution

The third proportional to 403,035.75 and 849,801.38 is: 1,791,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,035.75 : 849,801.38 = 849,801.38 : x
  2. Step 2: Convert to fraction form
    403,035.75/849,801.38 = 849,801.38/x
  3. Step 3: Cross multiply
    403,035.75x = 849,801.38 × 849,801.38
  4. Step 4: Simplify right side
    403,035.75x = 722,162,376,951.89
  5. Step 5: Solve for x
    x = 722,162,376,951.89/403,035.75
  6. Step 6: Final answer
    x = 1,791,807.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.