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Finding the Third Proportional to 712,034.50 and 1,068,193.50

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Solution

The third proportional to 712,034.50 and 1,068,193.50 is: 1,602,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,034.50 : 1,068,193.50 = 1,068,193.50 : x
  2. Step 2: Convert to fraction form
    712,034.50/1,068,193.50 = 1,068,193.50/x
  3. Step 3: Cross multiply
    712,034.50x = 1,068,193.50 × 1,068,193.50
  4. Step 4: Simplify right side
    712,034.50x = 1,141,037,353,442.25
  5. Step 5: Solve for x
    x = 1,141,037,353,442.25/712,034.50
  6. Step 6: Final answer
    x = 1,602,502.90

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Why These Related Problems?

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