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Finding the Third Proportional to 582,402 and 913,785

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Solution

The third proportional to 582,402 and 913,785 is: 1,433,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,402 : 913,785 = 913,785 : x
  2. Step 2: Convert to fraction form
    582,402/913,785 = 913,785/x
  3. Step 3: Cross multiply
    582,402x = 913,785 × 913,785
  4. Step 4: Simplify right side
    582,402x = 835,003,026,225
  5. Step 5: Solve for x
    x = 835,003,026,225/582,402
  6. Step 6: Final answer
    x = 1,433,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.