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Finding the Third Proportional to 426,216 and 710,262

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Solution

The third proportional to 426,216 and 710,262 is: 1,183,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,216 : 710,262 = 710,262 : x
  2. Step 2: Convert to fraction form
    426,216/710,262 = 710,262/x
  3. Step 3: Cross multiply
    426,216x = 710,262 × 710,262
  4. Step 4: Simplify right side
    426,216x = 504,472,108,644
  5. Step 5: Solve for x
    x = 504,472,108,644/426,216
  6. Step 6: Final answer
    x = 1,183,606.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.