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Finding the Third Proportional to 464,123 and 718,041

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Solution

The third proportional to 464,123 and 718,041 is: 1,110,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,123 : 718,041 = 718,041 : x
  2. Step 2: Convert to fraction form
    464,123/718,041 = 718,041/x
  3. Step 3: Cross multiply
    464,123x = 718,041 × 718,041
  4. Step 4: Simplify right side
    464,123x = 515,582,877,681
  5. Step 5: Solve for x
    x = 515,582,877,681/464,123
  6. Step 6: Final answer
    x = 1,110,875.52

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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.