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Finding the Third Proportional to 464,998 and 658,152

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Solution

The third proportional to 464,998 and 658,152 is: 931,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,998 : 658,152 = 658,152 : x
  2. Step 2: Convert to fraction form
    464,998/658,152 = 658,152/x
  3. Step 3: Cross multiply
    464,998x = 658,152 × 658,152
  4. Step 4: Simplify right side
    464,998x = 433,164,055,104
  5. Step 5: Solve for x
    x = 433,164,055,104/464,998
  6. Step 6: Final answer
    x = 931,539.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.