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Finding the Third Proportional to 627,507 and 947,173.50

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Solution

The third proportional to 627,507 and 947,173.50 is: 1,429,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,507 : 947,173.50 = 947,173.50 : x
  2. Step 2: Convert to fraction form
    627,507/947,173.50 = 947,173.50/x
  3. Step 3: Cross multiply
    627,507x = 947,173.50 × 947,173.50
  4. Step 4: Simplify right side
    627,507x = 897,137,639,102.25
  5. Step 5: Solve for x
    x = 897,137,639,102.25/627,507
  6. Step 6: Final answer
    x = 1,429,685.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.