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Finding the Third Proportional to 356,653.13 and 521,852.63

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Solution

The third proportional to 356,653.13 and 521,852.63 is: 763,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,653.13 : 521,852.63 = 521,852.63 : x
  2. Step 2: Convert to fraction form
    356,653.13/521,852.63 = 521,852.63/x
  3. Step 3: Cross multiply
    356,653.13x = 521,852.63 × 521,852.63
  4. Step 4: Simplify right side
    356,653.13x = 272,330,162,219.39
  5. Step 5: Solve for x
    x = 272,330,162,219.39/356,653.13
  6. Step 6: Final answer
    x = 763,571.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.