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Finding the Third Proportional to 356,865 and 525,435

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Solution

The third proportional to 356,865 and 525,435 is: 773,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,865 : 525,435 = 525,435 : x
  2. Step 2: Convert to fraction form
    356,865/525,435 = 525,435/x
  3. Step 3: Cross multiply
    356,865x = 525,435 × 525,435
  4. Step 4: Simplify right side
    356,865x = 276,081,939,225
  5. Step 5: Solve for x
    x = 276,081,939,225/356,865
  6. Step 6: Final answer
    x = 773,631.31

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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.