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Finding the Third Proportional to 352,545.75 and 832,075.88

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Solution

The third proportional to 352,545.75 and 832,075.88 is: 1,963,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,545.75 : 832,075.88 = 832,075.88 : x
  2. Step 2: Convert to fraction form
    352,545.75/832,075.88 = 832,075.88/x
  3. Step 3: Cross multiply
    352,545.75x = 832,075.88 × 832,075.88
  4. Step 4: Simplify right side
    352,545.75x = 692,350,261,757.02
  5. Step 5: Solve for x
    x = 692,350,261,757.02/352,545.75
  6. Step 6: Final answer
    x = 1,963,859.33

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.