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Finding the Third Proportional to 369,852 and 472,603.50

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Solution

The third proportional to 369,852 and 472,603.50 is: 603,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,852 : 472,603.50 = 472,603.50 : x
  2. Step 2: Convert to fraction form
    369,852/472,603.50 = 472,603.50/x
  3. Step 3: Cross multiply
    369,852x = 472,603.50 × 472,603.50
  4. Step 4: Simplify right side
    369,852x = 223,354,068,212.25
  5. Step 5: Solve for x
    x = 223,354,068,212.25/369,852
  6. Step 6: Final answer
    x = 603,901.20

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.