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Finding the Third Proportional to 535,095.38 and 783,444.75

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Solution

The third proportional to 535,095.38 and 783,444.75 is: 1,147,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,095.38 : 783,444.75 = 783,444.75 : x
  2. Step 2: Convert to fraction form
    535,095.38/783,444.75 = 783,444.75/x
  3. Step 3: Cross multiply
    535,095.38x = 783,444.75 × 783,444.75
  4. Step 4: Simplify right side
    535,095.38x = 613,785,676,302.56
  5. Step 5: Solve for x
    x = 613,785,676,302.56/535,095.38
  6. Step 6: Final answer
    x = 1,147,058.46

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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.