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Finding the Third Proportional to 712,036 and 1,068,196.50

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Solution

The third proportional to 712,036 and 1,068,196.50 is: 1,602,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,036 : 1,068,196.50 = 1,068,196.50 : x
  2. Step 2: Convert to fraction form
    712,036/1,068,196.50 = 1,068,196.50/x
  3. Step 3: Cross multiply
    712,036x = 1,068,196.50 × 1,068,196.50
  4. Step 4: Simplify right side
    712,036x = 1,141,043,762,612.25
  5. Step 5: Solve for x
    x = 1,141,043,762,612.25/712,036
  6. Step 6: Final answer
    x = 1,602,508.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.