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Finding the Third Proportional to 285,133.50 and 398,637

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Solution

The third proportional to 285,133.50 and 398,637 is: 557,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,133.50 : 398,637 = 398,637 : x
  2. Step 2: Convert to fraction form
    285,133.50/398,637 = 398,637/x
  3. Step 3: Cross multiply
    285,133.50x = 398,637 × 398,637
  4. Step 4: Simplify right side
    285,133.50x = 158,911,457,769
  5. Step 5: Solve for x
    x = 158,911,457,769/285,133.50
  6. Step 6: Final answer
    x = 557,323.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.