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Finding the Third Proportional to 233,263.13 and 499,695.75

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Solution

The third proportional to 233,263.13 and 499,695.75 is: 1,070,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,263.13 : 499,695.75 = 499,695.75 : x
  2. Step 2: Convert to fraction form
    233,263.13/499,695.75 = 499,695.75/x
  3. Step 3: Cross multiply
    233,263.13x = 499,695.75 × 499,695.75
  4. Step 4: Simplify right side
    233,263.13x = 249,695,842,568.06
  5. Step 5: Solve for x
    x = 249,695,842,568.06/233,263.13
  6. Step 6: Final answer
    x = 1,070,447.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.