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Finding the Third Proportional to 233,062.13 and 507,640.13

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Solution

The third proportional to 233,062.13 and 507,640.13 is: 1,105,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,062.13 : 507,640.13 = 507,640.13 : x
  2. Step 2: Convert to fraction form
    233,062.13/507,640.13 = 507,640.13/x
  3. Step 3: Cross multiply
    233,062.13x = 507,640.13 × 507,640.13
  4. Step 4: Simplify right side
    233,062.13x = 257,698,496,510.02
  5. Step 5: Solve for x
    x = 257,698,496,510.02/233,062.13
  6. Step 6: Final answer
    x = 1,105,707.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.