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Finding the Third Proportional to 514,065 and 768,073.50

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Solution

The third proportional to 514,065 and 768,073.50 is: 1,147,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,065 : 768,073.50 = 768,073.50 : x
  2. Step 2: Convert to fraction form
    514,065/768,073.50 = 768,073.50/x
  3. Step 3: Cross multiply
    514,065x = 768,073.50 × 768,073.50
  4. Step 4: Simplify right side
    514,065x = 589,936,901,402.25
  5. Step 5: Solve for x
    x = 589,936,901,402.25/514,065
  6. Step 6: Final answer
    x = 1,147,592.04

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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.