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Finding the Third Proportional to 402,273 and 592,299

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Solution

The third proportional to 402,273 and 592,299 is: 872,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,273 : 592,299 = 592,299 : x
  2. Step 2: Convert to fraction form
    402,273/592,299 = 592,299/x
  3. Step 3: Cross multiply
    402,273x = 592,299 × 592,299
  4. Step 4: Simplify right side
    402,273x = 350,818,105,401
  5. Step 5: Solve for x
    x = 350,818,105,401/402,273
  6. Step 6: Final answer
    x = 872,089.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.