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Finding the Third Proportional to 307,316.25 and 465,259.50

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Solution

The third proportional to 307,316.25 and 465,259.50 is: 704,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,316.25 : 465,259.50 = 465,259.50 : x
  2. Step 2: Convert to fraction form
    307,316.25/465,259.50 = 465,259.50/x
  3. Step 3: Cross multiply
    307,316.25x = 465,259.50 × 465,259.50
  4. Step 4: Simplify right side
    307,316.25x = 216,466,402,340.25
  5. Step 5: Solve for x
    x = 216,466,402,340.25/307,316.25
  6. Step 6: Final answer
    x = 704,376.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.