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Finding the Third Proportional to 478,046.25 and 668,317.50

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Solution

The third proportional to 478,046.25 and 668,317.50 is: 934,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,046.25 : 668,317.50 = 668,317.50 : x
  2. Step 2: Convert to fraction form
    478,046.25/668,317.50 = 668,317.50/x
  3. Step 3: Cross multiply
    478,046.25x = 668,317.50 × 668,317.50
  4. Step 4: Simplify right side
    478,046.25x = 446,648,280,806.25
  5. Step 5: Solve for x
    x = 446,648,280,806.25/478,046.25
  6. Step 6: Final answer
    x = 934,320.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.