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Finding the Third Proportional to 535,094 and 713,337

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Solution

The third proportional to 535,094 and 713,337 is: 950,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,094 : 713,337 = 713,337 : x
  2. Step 2: Convert to fraction form
    535,094/713,337 = 713,337/x
  3. Step 3: Cross multiply
    535,094x = 713,337 × 713,337
  4. Step 4: Simplify right side
    535,094x = 508,849,675,569
  5. Step 5: Solve for x
    x = 508,849,675,569/535,094
  6. Step 6: Final answer
    x = 950,953.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.