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Finding the Third Proportional to 356,854 and 525,424

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Solution

The third proportional to 356,854 and 525,424 is: 773,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,854 : 525,424 = 525,424 : x
  2. Step 2: Convert to fraction form
    356,854/525,424 = 525,424/x
  3. Step 3: Cross multiply
    356,854x = 525,424 × 525,424
  4. Step 4: Simplify right side
    356,854x = 276,070,379,776
  5. Step 5: Solve for x
    x = 276,070,379,776/356,854
  6. Step 6: Final answer
    x = 773,622.77

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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.