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Finding the Third Proportional to 453,046 and 719,747

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Solution

The third proportional to 453,046 and 719,747 is: 1,143,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,046 : 719,747 = 719,747 : x
  2. Step 2: Convert to fraction form
    453,046/719,747 = 719,747/x
  3. Step 3: Cross multiply
    453,046x = 719,747 × 719,747
  4. Step 4: Simplify right side
    453,046x = 518,035,744,009
  5. Step 5: Solve for x
    x = 518,035,744,009/453,046
  6. Step 6: Final answer
    x = 1,143,450.65

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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.