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Finding the Third Proportional to 302,415 and 444,862.50

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Solution

The third proportional to 302,415 and 444,862.50 is: 654,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,415 : 444,862.50 = 444,862.50 : x
  2. Step 2: Convert to fraction form
    302,415/444,862.50 = 444,862.50/x
  3. Step 3: Cross multiply
    302,415x = 444,862.50 × 444,862.50
  4. Step 4: Simplify right side
    302,415x = 197,902,643,906.25
  5. Step 5: Solve for x
    x = 197,902,643,906.25/302,415
  6. Step 6: Final answer
    x = 654,407.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.