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Finding the Third Proportional to 432,624 and 607,176

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Solution

The third proportional to 432,624 and 607,176 is: 852,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,624 : 607,176 = 607,176 : x
  2. Step 2: Convert to fraction form
    432,624/607,176 = 607,176/x
  3. Step 3: Cross multiply
    432,624x = 607,176 × 607,176
  4. Step 4: Simplify right side
    432,624x = 368,662,694,976
  5. Step 5: Solve for x
    x = 368,662,694,976/432,624
  6. Step 6: Final answer
    x = 852,154.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.