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Finding the Third Proportional to 356,875 and 573,760

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Solution

The third proportional to 356,875 and 573,760 is: 922,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,875 : 573,760 = 573,760 : x
  2. Step 2: Convert to fraction form
    356,875/573,760 = 573,760/x
  3. Step 3: Cross multiply
    356,875x = 573,760 × 573,760
  4. Step 4: Simplify right side
    356,875x = 329,200,537,600
  5. Step 5: Solve for x
    x = 329,200,537,600/356,875
  6. Step 6: Final answer
    x = 922,453.35

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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.