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Finding the Third Proportional to 781,737 and 1,168,000.50

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Solution

The third proportional to 781,737 and 1,168,000.50 is: 1,745,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,737 : 1,168,000.50 = 1,168,000.50 : x
  2. Step 2: Convert to fraction form
    781,737/1,168,000.50 = 1,168,000.50/x
  3. Step 3: Cross multiply
    781,737x = 1,168,000.50 × 1,168,000.50
  4. Step 4: Simplify right side
    781,737x = 1,364,225,168,000.25
  5. Step 5: Solve for x
    x = 1,364,225,168,000.25/781,737
  6. Step 6: Final answer
    x = 1,745,120.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.