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Finding the Third Proportional to 514,292 and 770,931

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Solution

The third proportional to 514,292 and 770,931 is: 1,155,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,292 : 770,931 = 770,931 : x
  2. Step 2: Convert to fraction form
    514,292/770,931 = 770,931/x
  3. Step 3: Cross multiply
    514,292x = 770,931 × 770,931
  4. Step 4: Simplify right side
    514,292x = 594,334,606,761
  5. Step 5: Solve for x
    x = 594,334,606,761/514,292
  6. Step 6: Final answer
    x = 1,155,636.50

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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.