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Finding the Third Proportional to 233,411.50 and 370,531.50

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Solution

The third proportional to 233,411.50 and 370,531.50 is: 588,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.50 : 370,531.50 = 370,531.50 : x
  2. Step 2: Convert to fraction form
    233,411.50/370,531.50 = 370,531.50/x
  3. Step 3: Cross multiply
    233,411.50x = 370,531.50 × 370,531.50
  4. Step 4: Simplify right side
    233,411.50x = 137,293,592,492.25
  5. Step 5: Solve for x
    x = 137,293,592,492.25/233,411.50
  6. Step 6: Final answer
    x = 588,204.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.