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Finding the Third Proportional to 426,230 and 710,283

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Solution

The third proportional to 426,230 and 710,283 is: 1,183,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,230 : 710,283 = 710,283 : x
  2. Step 2: Convert to fraction form
    426,230/710,283 = 710,283/x
  3. Step 3: Cross multiply
    426,230x = 710,283 × 710,283
  4. Step 4: Simplify right side
    426,230x = 504,501,940,089
  5. Step 5: Solve for x
    x = 504,501,940,089/426,230
  6. Step 6: Final answer
    x = 1,183,637.80

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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.