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Finding the Third Proportional to 352,293.75 and 785,265.75

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Solution

The third proportional to 352,293.75 and 785,265.75 is: 1,750,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,293.75 : 785,265.75 = 785,265.75 : x
  2. Step 2: Convert to fraction form
    352,293.75/785,265.75 = 785,265.75/x
  3. Step 3: Cross multiply
    352,293.75x = 785,265.75 × 785,265.75
  4. Step 4: Simplify right side
    352,293.75x = 616,642,298,123.06
  5. Step 5: Solve for x
    x = 616,642,298,123.06/352,293.75
  6. Step 6: Final answer
    x = 1,750,364.00

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.