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Finding the Third Proportional to 355,296 and 761,258

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Solution

The third proportional to 355,296 and 761,258 is: 1,631,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,296 : 761,258 = 761,258 : x
  2. Step 2: Convert to fraction form
    355,296/761,258 = 761,258/x
  3. Step 3: Cross multiply
    355,296x = 761,258 × 761,258
  4. Step 4: Simplify right side
    355,296x = 579,513,742,564
  5. Step 5: Solve for x
    x = 579,513,742,564/355,296
  6. Step 6: Final answer
    x = 1,631,073.08

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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.