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Finding the Third Proportional to 600,188 and 920,264

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Solution

The third proportional to 600,188 and 920,264 is: 1,411,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,188 : 920,264 = 920,264 : x
  2. Step 2: Convert to fraction form
    600,188/920,264 = 920,264/x
  3. Step 3: Cross multiply
    600,188x = 920,264 × 920,264
  4. Step 4: Simplify right side
    600,188x = 846,885,829,696
  5. Step 5: Solve for x
    x = 846,885,829,696/600,188
  6. Step 6: Final answer
    x = 1,411,034.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.