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Finding the Third Proportional to 385,672.50 and 830,613

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Solution

The third proportional to 385,672.50 and 830,613 is: 1,788,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,672.50 : 830,613 = 830,613 : x
  2. Step 2: Convert to fraction form
    385,672.50/830,613 = 830,613/x
  3. Step 3: Cross multiply
    385,672.50x = 830,613 × 830,613
  4. Step 4: Simplify right side
    385,672.50x = 689,917,955,769
  5. Step 5: Solve for x
    x = 689,917,955,769/385,672.50
  6. Step 6: Final answer
    x = 1,788,869.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.