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Finding the Third Proportional to 289,346 and 460,426

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Solution

The third proportional to 289,346 and 460,426 is: 732,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,346 : 460,426 = 460,426 : x
  2. Step 2: Convert to fraction form
    289,346/460,426 = 460,426/x
  3. Step 3: Cross multiply
    289,346x = 460,426 × 460,426
  4. Step 4: Simplify right side
    289,346x = 211,992,101,476
  5. Step 5: Solve for x
    x = 211,992,101,476/289,346
  6. Step 6: Final answer
    x = 732,659.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.