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Finding the Third Proportional to 499,470 and 811,488

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Solution

The third proportional to 499,470 and 811,488 is: 1,318,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,470 : 811,488 = 811,488 : x
  2. Step 2: Convert to fraction form
    499,470/811,488 = 811,488/x
  3. Step 3: Cross multiply
    499,470x = 811,488 × 811,488
  4. Step 4: Simplify right side
    499,470x = 658,512,774,144
  5. Step 5: Solve for x
    x = 658,512,774,144/499,470
  6. Step 6: Final answer
    x = 1,318,423.08

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.