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Finding the Third Proportional to 456,502 and 709,671

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Solution

The third proportional to 456,502 and 709,671 is: 1,103,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,502 : 709,671 = 709,671 : x
  2. Step 2: Convert to fraction form
    456,502/709,671 = 709,671/x
  3. Step 3: Cross multiply
    456,502x = 709,671 × 709,671
  4. Step 4: Simplify right side
    456,502x = 503,632,928,241
  5. Step 5: Solve for x
    x = 503,632,928,241/456,502
  6. Step 6: Final answer
    x = 1,103,243.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.