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Finding the Third Proportional to 356,875.50 and 484,447.50

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Solution

The third proportional to 356,875.50 and 484,447.50 is: 657,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,875.50 : 484,447.50 = 484,447.50 : x
  2. Step 2: Convert to fraction form
    356,875.50/484,447.50 = 484,447.50/x
  3. Step 3: Cross multiply
    356,875.50x = 484,447.50 × 484,447.50
  4. Step 4: Simplify right side
    356,875.50x = 234,689,380,256.25
  5. Step 5: Solve for x
    x = 234,689,380,256.25/356,875.50
  6. Step 6: Final answer
    x = 657,622.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.