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Finding the Third Proportional to 481,460.63 and 745,095.38

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Solution

The third proportional to 481,460.63 and 745,095.38 is: 1,153,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,460.63 : 745,095.38 = 745,095.38 : x
  2. Step 2: Convert to fraction form
    481,460.63/745,095.38 = 745,095.38/x
  3. Step 3: Cross multiply
    481,460.63x = 745,095.38 × 745,095.38
  4. Step 4: Simplify right side
    481,460.63x = 555,167,117,846.39
  5. Step 5: Solve for x
    x = 555,167,117,846.39/481,460.63
  6. Step 6: Final answer
    x = 1,153,089.35

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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.