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Finding the Third Proportional to 295,567.50 and 468,092.25

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Solution

The third proportional to 295,567.50 and 468,092.25 is: 741,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,567.50 : 468,092.25 = 468,092.25 : x
  2. Step 2: Convert to fraction form
    295,567.50/468,092.25 = 468,092.25/x
  3. Step 3: Cross multiply
    295,567.50x = 468,092.25 × 468,092.25
  4. Step 4: Simplify right side
    295,567.50x = 219,110,354,510.06
  5. Step 5: Solve for x
    x = 219,110,354,510.06/295,567.50
  6. Step 6: Final answer
    x = 741,320.86

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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.