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Finding the Third Proportional to 356,984 and 573,960

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Solution

The third proportional to 356,984 and 573,960 is: 922,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,984 : 573,960 = 573,960 : x
  2. Step 2: Convert to fraction form
    356,984/573,960 = 573,960/x
  3. Step 3: Cross multiply
    356,984x = 573,960 × 573,960
  4. Step 4: Simplify right side
    356,984x = 329,430,081,600
  5. Step 5: Solve for x
    x = 329,430,081,600/356,984
  6. Step 6: Final answer
    x = 922,814.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.