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Finding the Third Proportional to 424,218 and 593,397

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Solution

The third proportional to 424,218 and 593,397 is: 830,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,218 : 593,397 = 593,397 : x
  2. Step 2: Convert to fraction form
    424,218/593,397 = 593,397/x
  3. Step 3: Cross multiply
    424,218x = 593,397 × 593,397
  4. Step 4: Simplify right side
    424,218x = 352,119,999,609
  5. Step 5: Solve for x
    x = 352,119,999,609/424,218
  6. Step 6: Final answer
    x = 830,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.