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Finding the Third Proportional to 296,424 and 458,514

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Solution

The third proportional to 296,424 and 458,514 is: 709,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,424 : 458,514 = 458,514 : x
  2. Step 2: Convert to fraction form
    296,424/458,514 = 458,514/x
  3. Step 3: Cross multiply
    296,424x = 458,514 × 458,514
  4. Step 4: Simplify right side
    296,424x = 210,235,088,196
  5. Step 5: Solve for x
    x = 210,235,088,196/296,424
  6. Step 6: Final answer
    x = 709,237.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.