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Finding the Third Proportional to 262,932 and 429,300

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Solution

The third proportional to 262,932 and 429,300 is: 700,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,932 : 429,300 = 429,300 : x
  2. Step 2: Convert to fraction form
    262,932/429,300 = 429,300/x
  3. Step 3: Cross multiply
    262,932x = 429,300 × 429,300
  4. Step 4: Simplify right side
    262,932x = 184,298,490,000
  5. Step 5: Solve for x
    x = 184,298,490,000/262,932
  6. Step 6: Final answer
    x = 700,935.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.