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Finding the Third Proportional to 590,955 and 865,471.13

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Solution

The third proportional to 590,955 and 865,471.13 is: 1,267,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,955 : 865,471.13 = 865,471.13 : x
  2. Step 2: Convert to fraction form
    590,955/865,471.13 = 865,471.13/x
  3. Step 3: Cross multiply
    590,955x = 865,471.13 × 865,471.13
  4. Step 4: Simplify right side
    590,955x = 749,040,268,208.77
  5. Step 5: Solve for x
    x = 749,040,268,208.77/590,955
  6. Step 6: Final answer
    x = 1,267,508.13

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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.