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Finding the Third Proportional to 812,531.25 and 1,730,038.50

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Solution

The third proportional to 812,531.25 and 1,730,038.50 is: 3,683,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,531.25 : 1,730,038.50 = 1,730,038.50 : x
  2. Step 2: Convert to fraction form
    812,531.25/1,730,038.50 = 1,730,038.50/x
  3. Step 3: Cross multiply
    812,531.25x = 1,730,038.50 × 1,730,038.50
  4. Step 4: Simplify right side
    812,531.25x = 2,993,033,211,482.25
  5. Step 5: Solve for x
    x = 2,993,033,211,482.25/812,531.25
  6. Step 6: Final answer
    x = 3,683,591.51

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