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Finding the Third Proportional to 366,329.25 and 781,045.50

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Solution

The third proportional to 366,329.25 and 781,045.50 is: 1,665,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,329.25 : 781,045.50 = 781,045.50 : x
  2. Step 2: Convert to fraction form
    366,329.25/781,045.50 = 781,045.50/x
  3. Step 3: Cross multiply
    366,329.25x = 781,045.50 × 781,045.50
  4. Step 4: Simplify right side
    366,329.25x = 610,032,073,070.25
  5. Step 5: Solve for x
    x = 610,032,073,070.25/366,329.25
  6. Step 6: Final answer
    x = 1,665,256.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.