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Finding the Third Proportional to 432,675 and 938,358

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Solution

The third proportional to 432,675 and 938,358 is: 2,035,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,675 : 938,358 = 938,358 : x
  2. Step 2: Convert to fraction form
    432,675/938,358 = 938,358/x
  3. Step 3: Cross multiply
    432,675x = 938,358 × 938,358
  4. Step 4: Simplify right side
    432,675x = 880,515,736,164
  5. Step 5: Solve for x
    x = 880,515,736,164/432,675
  6. Step 6: Final answer
    x = 2,035,051.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.