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Finding the Third Proportional to 464,942.53 and 710,752.22

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Solution

The third proportional to 464,942.53 and 710,752.22 is: 1,086,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,942.53 : 710,752.22 = 710,752.22 : x
  2. Step 2: Convert to fraction form
    464,942.53/710,752.22 = 710,752.22/x
  3. Step 3: Cross multiply
    464,942.53x = 710,752.22 × 710,752.22
  4. Step 4: Simplify right side
    464,942.53x = 505,168,716,458.05
  5. Step 5: Solve for x
    x = 505,168,716,458.05/464,942.53
  6. Step 6: Final answer
    x = 1,086,518.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.