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Finding the Third Proportional to 522,140.50 and 807,799.50

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Solution

The third proportional to 522,140.50 and 807,799.50 is: 1,249,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,140.50 : 807,799.50 = 807,799.50 : x
  2. Step 2: Convert to fraction form
    522,140.50/807,799.50 = 807,799.50/x
  3. Step 3: Cross multiply
    522,140.50x = 807,799.50 × 807,799.50
  4. Step 4: Simplify right side
    522,140.50x = 652,540,032,200.25
  5. Step 5: Solve for x
    x = 652,540,032,200.25/522,140.50
  6. Step 6: Final answer
    x = 1,249,740.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.