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Finding the Third Proportional to 288,018 and 672,877.50

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Solution

The third proportional to 288,018 and 672,877.50 is: 1,571,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,018 : 672,877.50 = 672,877.50 : x
  2. Step 2: Convert to fraction form
    288,018/672,877.50 = 672,877.50/x
  3. Step 3: Cross multiply
    288,018x = 672,877.50 × 672,877.50
  4. Step 4: Simplify right side
    288,018x = 452,764,130,006.25
  5. Step 5: Solve for x
    x = 452,764,130,006.25/288,018
  6. Step 6: Final answer
    x = 1,571,999.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.