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Finding the Third Proportional to 505,596 and 761,598

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Solution

The third proportional to 505,596 and 761,598 is: 1,147,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,596 : 761,598 = 761,598 : x
  2. Step 2: Convert to fraction form
    505,596/761,598 = 761,598/x
  3. Step 3: Cross multiply
    505,596x = 761,598 × 761,598
  4. Step 4: Simplify right side
    505,596x = 580,031,513,604
  5. Step 5: Solve for x
    x = 580,031,513,604/505,596
  6. Step 6: Final answer
    x = 1,147,223.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.