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Finding the Third Proportional to 535,872 and 829,386

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Solution

The third proportional to 535,872 and 829,386 is: 1,283,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,872 : 829,386 = 829,386 : x
  2. Step 2: Convert to fraction form
    535,872/829,386 = 829,386/x
  3. Step 3: Cross multiply
    535,872x = 829,386 × 829,386
  4. Step 4: Simplify right side
    535,872x = 687,881,136,996
  5. Step 5: Solve for x
    x = 687,881,136,996/535,872
  6. Step 6: Final answer
    x = 1,283,666.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.