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Finding the Third Proportional to 363,719 and 785,514.50

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Solution

The third proportional to 363,719 and 785,514.50 is: 1,696,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,719 : 785,514.50 = 785,514.50 : x
  2. Step 2: Convert to fraction form
    363,719/785,514.50 = 785,514.50/x
  3. Step 3: Cross multiply
    363,719x = 785,514.50 × 785,514.50
  4. Step 4: Simplify right side
    363,719x = 617,033,029,710.25
  5. Step 5: Solve for x
    x = 617,033,029,710.25/363,719
  6. Step 6: Final answer
    x = 1,696,455.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.