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Finding the Third Proportional to 295,525 and 468,028.50

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Solution

The third proportional to 295,525 and 468,028.50 is: 741,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,525 : 468,028.50 = 468,028.50 : x
  2. Step 2: Convert to fraction form
    295,525/468,028.50 = 468,028.50/x
  3. Step 3: Cross multiply
    295,525x = 468,028.50 × 468,028.50
  4. Step 4: Simplify right side
    295,525x = 219,050,676,812.25
  5. Step 5: Solve for x
    x = 219,050,676,812.25/295,525
  6. Step 6: Final answer
    x = 741,225.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.