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Finding the Third Proportional to 310,385.25 and 474,602.63

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Solution

The third proportional to 310,385.25 and 474,602.63 is: 725,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,385.25 : 474,602.63 = 474,602.63 : x
  2. Step 2: Convert to fraction form
    310,385.25/474,602.63 = 474,602.63/x
  3. Step 3: Cross multiply
    310,385.25x = 474,602.63 × 474,602.63
  4. Step 4: Simplify right side
    310,385.25x = 225,247,651,656.89
  5. Step 5: Solve for x
    x = 225,247,651,656.89/310,385.25
  6. Step 6: Final answer
    x = 725,703.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.