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Finding the Third Proportional to 432,352 and 646,798

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Solution

The third proportional to 432,352 and 646,798 is: 967,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352 : 646,798 = 646,798 : x
  2. Step 2: Convert to fraction form
    432,352/646,798 = 646,798/x
  3. Step 3: Cross multiply
    432,352x = 646,798 × 646,798
  4. Step 4: Simplify right side
    432,352x = 418,347,652,804
  5. Step 5: Solve for x
    x = 418,347,652,804/432,352
  6. Step 6: Final answer
    x = 967,608.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.