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Finding the Third Proportional to 456,550 and 709,692

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Solution

The third proportional to 456,550 and 709,692 is: 1,103,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,550 : 709,692 = 709,692 : x
  2. Step 2: Convert to fraction form
    456,550/709,692 = 709,692/x
  3. Step 3: Cross multiply
    456,550x = 709,692 × 709,692
  4. Step 4: Simplify right side
    456,550x = 503,662,734,864
  5. Step 5: Solve for x
    x = 503,662,734,864/456,550
  6. Step 6: Final answer
    x = 1,103,192.94

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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.