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Finding the Third Proportional to 600,254 and 915,623

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Solution

The third proportional to 600,254 and 915,623 is: 1,396,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,254 : 915,623 = 915,623 : x
  2. Step 2: Convert to fraction form
    600,254/915,623 = 915,623/x
  3. Step 3: Cross multiply
    600,254x = 915,623 × 915,623
  4. Step 4: Simplify right side
    600,254x = 838,365,478,129
  5. Step 5: Solve for x
    x = 838,365,478,129/600,254
  6. Step 6: Final answer
    x = 1,396,684.53

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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.