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Finding the Third Proportional to 319,258.13 and 476,119.69

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Solution

The third proportional to 319,258.13 and 476,119.69 is: 710,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,258.13 : 476,119.69 = 476,119.69 : x
  2. Step 2: Convert to fraction form
    319,258.13/476,119.69 = 476,119.69/x
  3. Step 3: Cross multiply
    319,258.13x = 476,119.69 × 476,119.69
  4. Step 4: Simplify right side
    319,258.13x = 226,689,956,825.10
  5. Step 5: Solve for x
    x = 226,689,956,825.10/319,258.13
  6. Step 6: Final answer
    x = 710,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.