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Finding the Third Proportional to 610,400.81 and 929,816.72

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Solution

The third proportional to 610,400.81 and 929,816.72 is: 1,416,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,400.81 : 929,816.72 = 929,816.72 : x
  2. Step 2: Convert to fraction form
    610,400.81/929,816.72 = 929,816.72/x
  3. Step 3: Cross multiply
    610,400.81x = 929,816.72 × 929,816.72
  4. Step 4: Simplify right side
    610,400.81x = 864,559,130,467.02
  5. Step 5: Solve for x
    x = 864,559,130,467.02/610,400.81
  6. Step 6: Final answer
    x = 1,416,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.