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Finding the Third Proportional to 499,580 and 761,808

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Solution

The third proportional to 499,580 and 761,808 is: 1,161,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,580 : 761,808 = 761,808 : x
  2. Step 2: Convert to fraction form
    499,580/761,808 = 761,808/x
  3. Step 3: Cross multiply
    499,580x = 761,808 × 761,808
  4. Step 4: Simplify right side
    499,580x = 580,351,428,864
  5. Step 5: Solve for x
    x = 580,351,428,864/499,580
  6. Step 6: Final answer
    x = 1,161,678.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.