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Finding the Third Proportional to 479,520 and 745,038

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Solution

The third proportional to 479,520 and 745,038 is: 1,157,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,520 : 745,038 = 745,038 : x
  2. Step 2: Convert to fraction form
    479,520/745,038 = 745,038/x
  3. Step 3: Cross multiply
    479,520x = 745,038 × 745,038
  4. Step 4: Simplify right side
    479,520x = 555,081,621,444
  5. Step 5: Solve for x
    x = 555,081,621,444/479,520
  6. Step 6: Final answer
    x = 1,157,577.62

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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.