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Finding the Third Proportional to 229,510.13 and 499,848.75

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Solution

The third proportional to 229,510.13 and 499,848.75 is: 1,088,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,510.13 : 499,848.75 = 499,848.75 : x
  2. Step 2: Convert to fraction form
    229,510.13/499,848.75 = 499,848.75/x
  3. Step 3: Cross multiply
    229,510.13x = 499,848.75 × 499,848.75
  4. Step 4: Simplify right side
    229,510.13x = 249,848,772,876.56
  5. Step 5: Solve for x
    x = 249,848,772,876.56/229,510.13
  6. Step 6: Final answer
    x = 1,088,617.65

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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.