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Finding the Third Proportional to 344,246 and 730,258

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Solution

The third proportional to 344,246 and 730,258 is: 1,549,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,246 : 730,258 = 730,258 : x
  2. Step 2: Convert to fraction form
    344,246/730,258 = 730,258/x
  3. Step 3: Cross multiply
    344,246x = 730,258 × 730,258
  4. Step 4: Simplify right side
    344,246x = 533,276,746,564
  5. Step 5: Solve for x
    x = 533,276,746,564/344,246
  6. Step 6: Final answer
    x = 1,549,115.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.