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Finding the Third Proportional to 590,656 and 908,988

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Solution

The third proportional to 590,656 and 908,988 is: 1,398,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,656 : 908,988 = 908,988 : x
  2. Step 2: Convert to fraction form
    590,656/908,988 = 908,988/x
  3. Step 3: Cross multiply
    590,656x = 908,988 × 908,988
  4. Step 4: Simplify right side
    590,656x = 826,259,184,144
  5. Step 5: Solve for x
    x = 826,259,184,144/590,656
  6. Step 6: Final answer
    x = 1,398,883.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.