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Finding the Third Proportional to 465,935 and 637,594

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Solution

The third proportional to 465,935 and 637,594 is: 872,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,935 : 637,594 = 637,594 : x
  2. Step 2: Convert to fraction form
    465,935/637,594 = 637,594/x
  3. Step 3: Cross multiply
    465,935x = 637,594 × 637,594
  4. Step 4: Simplify right side
    465,935x = 406,526,108,836
  5. Step 5: Solve for x
    x = 406,526,108,836/465,935
  6. Step 6: Final answer
    x = 872,495.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.