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Finding the Third Proportional to 514,290 and 770,928

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Solution

The third proportional to 514,290 and 770,928 is: 1,155,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,290 : 770,928 = 770,928 : x
  2. Step 2: Convert to fraction form
    514,290/770,928 = 770,928/x
  3. Step 3: Cross multiply
    514,290x = 770,928 × 770,928
  4. Step 4: Simplify right side
    514,290x = 594,329,981,184
  5. Step 5: Solve for x
    x = 594,329,981,184/514,290
  6. Step 6: Final answer
    x = 1,155,632.00

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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.