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Finding the Third Proportional to 674,312 and 948,543

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Solution

The third proportional to 674,312 and 948,543 is: 1,334,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,312 : 948,543 = 948,543 : x
  2. Step 2: Convert to fraction form
    674,312/948,543 = 948,543/x
  3. Step 3: Cross multiply
    674,312x = 948,543 × 948,543
  4. Step 4: Simplify right side
    674,312x = 899,733,822,849
  5. Step 5: Solve for x
    x = 899,733,822,849/674,312
  6. Step 6: Final answer
    x = 1,334,298.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.