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Finding the Third Proportional to 593,412 and 877,077

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Solution

The third proportional to 593,412 and 877,077 is: 1,296,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,412 : 877,077 = 877,077 : x
  2. Step 2: Convert to fraction form
    593,412/877,077 = 877,077/x
  3. Step 3: Cross multiply
    593,412x = 877,077 × 877,077
  4. Step 4: Simplify right side
    593,412x = 769,264,063,929
  5. Step 5: Solve for x
    x = 769,264,063,929/593,412
  6. Step 6: Final answer
    x = 1,296,340.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.