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Finding the Third Proportional to 307,803 and 472,801.50

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Solution

The third proportional to 307,803 and 472,801.50 is: 726,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,803 : 472,801.50 = 472,801.50 : x
  2. Step 2: Convert to fraction form
    307,803/472,801.50 = 472,801.50/x
  3. Step 3: Cross multiply
    307,803x = 472,801.50 × 472,801.50
  4. Step 4: Simplify right side
    307,803x = 223,541,258,402.25
  5. Step 5: Solve for x
    x = 223,541,258,402.25/307,803
  6. Step 6: Final answer
    x = 726,247.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.