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Finding the Third Proportional to 508,254.94 and 745,407.42

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Solution

The third proportional to 508,254.94 and 745,407.42 is: 1,093,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,254.94 : 745,407.42 = 745,407.42 : x
  2. Step 2: Convert to fraction form
    508,254.94/745,407.42 = 745,407.42/x
  3. Step 3: Cross multiply
    508,254.94x = 745,407.42 × 745,407.42
  4. Step 4: Simplify right side
    508,254.94x = 555,632,224,586.33
  5. Step 5: Solve for x
    x = 555,632,224,586.33/508,254.94
  6. Step 6: Final answer
    x = 1,093,215.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.