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Finding the Third Proportional to 243,061 and 380,422.50

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Solution

The third proportional to 243,061 and 380,422.50 is: 595,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,061 : 380,422.50 = 380,422.50 : x
  2. Step 2: Convert to fraction form
    243,061/380,422.50 = 380,422.50/x
  3. Step 3: Cross multiply
    243,061x = 380,422.50 × 380,422.50
  4. Step 4: Simplify right side
    243,061x = 144,721,278,506.25
  5. Step 5: Solve for x
    x = 144,721,278,506.25/243,061
  6. Step 6: Final answer
    x = 595,411.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.