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Finding the Third Proportional to 291,258 and 391,465

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Solution

The third proportional to 291,258 and 391,465 is: 526,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,258 : 391,465 = 391,465 : x
  2. Step 2: Convert to fraction form
    291,258/391,465 = 391,465/x
  3. Step 3: Cross multiply
    291,258x = 391,465 × 391,465
  4. Step 4: Simplify right side
    291,258x = 153,244,846,225
  5. Step 5: Solve for x
    x = 153,244,846,225/291,258
  6. Step 6: Final answer
    x = 526,148.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.