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Finding the Third Proportional to 289,344 and 460,423

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Solution

The third proportional to 289,344 and 460,423 is: 732,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344 : 460,423 = 460,423 : x
  2. Step 2: Convert to fraction form
    289,344/460,423 = 460,423/x
  3. Step 3: Cross multiply
    289,344x = 460,423 × 460,423
  4. Step 4: Simplify right side
    289,344x = 211,989,338,929
  5. Step 5: Solve for x
    x = 211,989,338,929/289,344
  6. Step 6: Final answer
    x = 732,655.04

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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.