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Finding the Third Proportional to 557,004 and 812,034

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Solution

The third proportional to 557,004 and 812,034 is: 1,183,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,004 : 812,034 = 812,034 : x
  2. Step 2: Convert to fraction form
    557,004/812,034 = 812,034/x
  3. Step 3: Cross multiply
    557,004x = 812,034 × 812,034
  4. Step 4: Simplify right side
    557,004x = 659,399,217,156
  5. Step 5: Solve for x
    x = 659,399,217,156/557,004
  6. Step 6: Final answer
    x = 1,183,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.