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Finding the Third Proportional to 608,904 and 865,471.50

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Solution

The third proportional to 608,904 and 865,471.50 is: 1,230,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,904 : 865,471.50 = 865,471.50 : x
  2. Step 2: Convert to fraction form
    608,904/865,471.50 = 865,471.50/x
  3. Step 3: Cross multiply
    608,904x = 865,471.50 × 865,471.50
  4. Step 4: Simplify right side
    608,904x = 749,040,917,312.25
  5. Step 5: Solve for x
    x = 749,040,917,312.25/608,904
  6. Step 6: Final answer
    x = 1,230,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.