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Finding the Third Proportional to 458,108 and 692,184

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Solution

The third proportional to 458,108 and 692,184 is: 1,045,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,108 : 692,184 = 692,184 : x
  2. Step 2: Convert to fraction form
    458,108/692,184 = 692,184/x
  3. Step 3: Cross multiply
    458,108x = 692,184 × 692,184
  4. Step 4: Simplify right side
    458,108x = 479,118,689,856
  5. Step 5: Solve for x
    x = 479,118,689,856/458,108
  6. Step 6: Final answer
    x = 1,045,864.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.