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Finding the Third Proportional to 360,516 and 834,572.25

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Solution

The third proportional to 360,516 and 834,572.25 is: 1,931,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,516 : 834,572.25 = 834,572.25 : x
  2. Step 2: Convert to fraction form
    360,516/834,572.25 = 834,572.25/x
  3. Step 3: Cross multiply
    360,516x = 834,572.25 × 834,572.25
  4. Step 4: Simplify right side
    360,516x = 696,510,840,470.06
  5. Step 5: Solve for x
    x = 696,510,840,470.06/360,516
  6. Step 6: Final answer
    x = 1,931,983.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.