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Finding the Third Proportional to 592,456 and 917,632

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Solution

The third proportional to 592,456 and 917,632 is: 1,421,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,456 : 917,632 = 917,632 : x
  2. Step 2: Convert to fraction form
    592,456/917,632 = 917,632/x
  3. Step 3: Cross multiply
    592,456x = 917,632 × 917,632
  4. Step 4: Simplify right side
    592,456x = 842,048,487,424
  5. Step 5: Solve for x
    x = 842,048,487,424/592,456
  6. Step 6: Final answer
    x = 1,421,284.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.