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Finding the Third Proportional to 233,289 and 508,065.75

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Solution

The third proportional to 233,289 and 508,065.75 is: 1,106,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,289 : 508,065.75 = 508,065.75 : x
  2. Step 2: Convert to fraction form
    233,289/508,065.75 = 508,065.75/x
  3. Step 3: Cross multiply
    233,289x = 508,065.75 × 508,065.75
  4. Step 4: Simplify right side
    233,289x = 258,130,806,323.06
  5. Step 5: Solve for x
    x = 258,130,806,323.06/233,289
  6. Step 6: Final answer
    x = 1,106,485.12

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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.