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Finding the Third Proportional to 456,638 and 723,030

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Solution

The third proportional to 456,638 and 723,030 is: 1,144,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,638 : 723,030 = 723,030 : x
  2. Step 2: Convert to fraction form
    456,638/723,030 = 723,030/x
  3. Step 3: Cross multiply
    456,638x = 723,030 × 723,030
  4. Step 4: Simplify right side
    456,638x = 522,772,380,900
  5. Step 5: Solve for x
    x = 522,772,380,900/456,638
  6. Step 6: Final answer
    x = 1,144,828.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.