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Finding the Third Proportional to 257,984.50 and 607,023

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Solution

The third proportional to 257,984.50 and 607,023 is: 1,428,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984.50 : 607,023 = 607,023 : x
  2. Step 2: Convert to fraction form
    257,984.50/607,023 = 607,023/x
  3. Step 3: Cross multiply
    257,984.50x = 607,023 × 607,023
  4. Step 4: Simplify right side
    257,984.50x = 368,476,922,529
  5. Step 5: Solve for x
    x = 368,476,922,529/257,984.50
  6. Step 6: Final answer
    x = 1,428,290.93

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.