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Finding the Third Proportional to 537,179 and 838,457

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Solution

The third proportional to 537,179 and 838,457 is: 1,308,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,179 : 838,457 = 838,457 : x
  2. Step 2: Convert to fraction form
    537,179/838,457 = 838,457/x
  3. Step 3: Cross multiply
    537,179x = 838,457 × 838,457
  4. Step 4: Simplify right side
    537,179x = 703,010,140,849
  5. Step 5: Solve for x
    x = 703,010,140,849/537,179
  6. Step 6: Final answer
    x = 1,308,707.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.