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Finding the Third Proportional to 233,710 and 381,585

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Solution

The third proportional to 233,710 and 381,585 is: 623,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,710 : 381,585 = 381,585 : x
  2. Step 2: Convert to fraction form
    233,710/381,585 = 381,585/x
  3. Step 3: Cross multiply
    233,710x = 381,585 × 381,585
  4. Step 4: Simplify right side
    233,710x = 145,607,112,225
  5. Step 5: Solve for x
    x = 145,607,112,225/233,710
  6. Step 6: Final answer
    x = 623,024.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.