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Finding the Third Proportional to 233,063 and 507,643

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Solution

The third proportional to 233,063 and 507,643 is: 1,105,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,063 : 507,643 = 507,643 : x
  2. Step 2: Convert to fraction form
    233,063/507,643 = 507,643/x
  3. Step 3: Cross multiply
    233,063x = 507,643 × 507,643
  4. Step 4: Simplify right side
    233,063x = 257,701,415,449
  5. Step 5: Solve for x
    x = 257,701,415,449/233,063
  6. Step 6: Final answer
    x = 1,105,715.69

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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.