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Finding the Third Proportional to 435,461 and 601,728.50

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Solution

The third proportional to 435,461 and 601,728.50 is: 831,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,461 : 601,728.50 = 601,728.50 : x
  2. Step 2: Convert to fraction form
    435,461/601,728.50 = 601,728.50/x
  3. Step 3: Cross multiply
    435,461x = 601,728.50 × 601,728.50
  4. Step 4: Simplify right side
    435,461x = 362,077,187,712.25
  5. Step 5: Solve for x
    x = 362,077,187,712.25/435,461
  6. Step 6: Final answer
    x = 831,480.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.