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Finding the Third Proportional to 360,316 and 834,154

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Solution

The third proportional to 360,316 and 834,154 is: 1,931,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,316 : 834,154 = 834,154 : x
  2. Step 2: Convert to fraction form
    360,316/834,154 = 834,154/x
  3. Step 3: Cross multiply
    360,316x = 834,154 × 834,154
  4. Step 4: Simplify right side
    360,316x = 695,812,895,716
  5. Step 5: Solve for x
    x = 695,812,895,716/360,316
  6. Step 6: Final answer
    x = 1,931,118.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.