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Finding the Third Proportional to 508,464 and 745,692

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Solution

The third proportional to 508,464 and 745,692 is: 1,093,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,464 : 745,692 = 745,692 : x
  2. Step 2: Convert to fraction form
    508,464/745,692 = 745,692/x
  3. Step 3: Cross multiply
    508,464x = 745,692 × 745,692
  4. Step 4: Simplify right side
    508,464x = 556,056,558,864
  5. Step 5: Solve for x
    x = 556,056,558,864/508,464
  6. Step 6: Final answer
    x = 1,093,600.65

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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.